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Finding the Fourth Proportional to 52,127.46, 78,191.10 and 14,687.46

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Solution

The fourth proportional to 52,127.46, 78,191.10 and 14,687.46 is: 22,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,127.46 : 78,191.10 = 14,687.46 : x
  2. Step 2: Convert to fraction form
    52,127.46/78,191.10 = 14,687.46/x
  3. Step 3: Cross multiply
    52,127.46x = 78,191.10 × 14,687.46
  4. Step 4: Simplify right side
    52,127.46x = 1,148,428,653.61
  5. Step 5: Solve for x
    x = 1,148,428,653.61/52,127.46
  6. Step 6: Final answer
    x = 22,031.16

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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.