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Finding the Fourth Proportional to 32,076,150.30, 48,114,225.45 and 32,076,150.30

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Solution

The fourth proportional to 32,076,150.30, 48,114,225.45 and 32,076,150.30 is: 48,114,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076,150.30 : 48,114,225.45 = 32,076,150.30 : x
  2. Step 2: Convert to fraction form
    32,076,150.30/48,114,225.45 = 32,076,150.30/x
  3. Step 3: Cross multiply
    32,076,150.30x = 48,114,225.45 × 32,076,150.30
  4. Step 4: Simplify right side
    32,076,150.30x = 1,543,319,127,102,285.25
  5. Step 5: Solve for x
    x = 1,543,319,127,102,285.25/32,076,150.30
  6. Step 6: Final answer
    x = 48,114,225.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.