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Finding the Fourth Proportional to 32,501.63, 48,752.44 and 7,877.63

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Solution

The fourth proportional to 32,501.63, 48,752.44 and 7,877.63 is: 11,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.63 : 48,752.44 = 7,877.63 : x
  2. Step 2: Convert to fraction form
    32,501.63/48,752.44 = 7,877.63/x
  3. Step 3: Cross multiply
    32,501.63x = 48,752.44 × 7,877.63
  4. Step 4: Simplify right side
    32,501.63x = 384,053,420.46
  5. Step 5: Solve for x
    x = 384,053,420.46/32,501.63
  6. Step 6: Final answer
    x = 11,816.44

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1.5x scale

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.