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Finding the Fourth Proportional to 51,572.50, 77,363.46 and 16,034.02

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Solution

The fourth proportional to 51,572.50, 77,363.46 and 16,034.02 is: 24,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,572.50 : 77,363.46 = 16,034.02 : x
  2. Step 2: Convert to fraction form
    51,572.50/77,363.46 = 16,034.02/x
  3. Step 3: Cross multiply
    51,572.50x = 77,363.46 × 16,034.02
  4. Step 4: Simplify right side
    51,572.50x = 1,240,447,264.91
  5. Step 5: Solve for x
    x = 1,240,447,264.91/51,572.50
  6. Step 6: Final answer
    x = 24,052.49

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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.