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Finding the Fourth Proportional to 73,002.50, 100,743.70 and 39,468.74

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Solution

The fourth proportional to 73,002.50, 100,743.70 and 39,468.74 is: 54,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,002.50 : 100,743.70 = 39,468.74 : x
  2. Step 2: Convert to fraction form
    73,002.50/100,743.70 = 39,468.74/x
  3. Step 3: Cross multiply
    73,002.50x = 100,743.70 × 39,468.74
  4. Step 4: Simplify right side
    73,002.50x = 3,976,226,901.94
  5. Step 5: Solve for x
    x = 3,976,226,901.94/73,002.50
  6. Step 6: Final answer
    x = 54,467.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.