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Finding the Fourth Proportional to 137,587.84, 206,359.63 and 37,724.86

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Solution

The fourth proportional to 137,587.84, 206,359.63 and 37,724.86 is: 56,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,587.84 : 206,359.63 = 37,724.86 : x
  2. Step 2: Convert to fraction form
    137,587.84/206,359.63 = 37,724.86/x
  3. Step 3: Cross multiply
    137,587.84x = 206,359.63 × 37,724.86
  4. Step 4: Simplify right side
    137,587.84x = 7,784,888,151.40
  5. Step 5: Solve for x
    x = 7,784,888,151.40/137,587.84
  6. Step 6: Final answer
    x = 56,581.22

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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.