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Finding the Fourth Proportional to 123,871.50, 185,816.54 and 35,132.15

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Solution

The fourth proportional to 123,871.50, 185,816.54 and 35,132.15 is: 52,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,871.50 : 185,816.54 = 35,132.15 : x
  2. Step 2: Convert to fraction form
    123,871.50/185,816.54 = 35,132.15/x
  3. Step 3: Cross multiply
    123,871.50x = 185,816.54 × 35,132.15
  4. Step 4: Simplify right side
    123,871.50x = 6,528,135,108.13
  5. Step 5: Solve for x
    x = 6,528,135,108.13/123,871.50
  6. Step 6: Final answer
    x = 52,700.86

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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.