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Finding the Fourth Proportional to 100,966.80, 151,397.52 and 37,734.96

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Solution

The fourth proportional to 100,966.80, 151,397.52 and 37,734.96 is: 56,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,966.80 : 151,397.52 = 37,734.96 : x
  2. Step 2: Convert to fraction form
    100,966.80/151,397.52 = 37,734.96/x
  3. Step 3: Cross multiply
    100,966.80x = 151,397.52 × 37,734.96
  4. Step 4: Simplify right side
    100,966.80x = 5,712,979,361.30
  5. Step 5: Solve for x
    x = 5,712,979,361.30/100,966.80
  6. Step 6: Final answer
    x = 56,582.75

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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.