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Finding the Fourth Proportional to 72,356.20, 108,461.40 and 32,941.60

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Solution

The fourth proportional to 72,356.20, 108,461.40 and 32,941.60 is: 49,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,356.20 : 108,461.40 = 32,941.60 : x
  2. Step 2: Convert to fraction form
    72,356.20/108,461.40 = 32,941.60/x
  3. Step 3: Cross multiply
    72,356.20x = 108,461.40 × 32,941.60
  4. Step 4: Simplify right side
    72,356.20x = 3,572,892,054.24
  5. Step 5: Solve for x
    x = 3,572,892,054.24/72,356.20
  6. Step 6: Final answer
    x = 49,379.21

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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.