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Finding the Fourth Proportional to 71,607.47, 107,405.72 and 24,226.52

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Solution

The fourth proportional to 71,607.47, 107,405.72 and 24,226.52 is: 36,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,607.47 : 107,405.72 = 24,226.52 : x
  2. Step 2: Convert to fraction form
    71,607.47/107,405.72 = 24,226.52/x
  3. Step 3: Cross multiply
    71,607.47x = 107,405.72 × 24,226.52
  4. Step 4: Simplify right side
    71,607.47x = 2,602,066,165.53
  5. Step 5: Solve for x
    x = 2,602,066,165.53/71,607.47
  6. Step 6: Final answer
    x = 36,337.92

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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.