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Finding the Fourth Proportional to 51,624.52, 77,344.22 and 31,624

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Solution

The fourth proportional to 51,624.52, 77,344.22 and 31,624 is: 47,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,624.52 : 77,344.22 = 31,624 : x
  2. Step 2: Convert to fraction form
    51,624.52/77,344.22 = 31,624/x
  3. Step 3: Cross multiply
    51,624.52x = 77,344.22 × 31,624
  4. Step 4: Simplify right side
    51,624.52x = 2,445,933,613.28
  5. Step 5: Solve for x
    x = 2,445,933,613.28/51,624.52
  6. Step 6: Final answer
    x = 47,379.30

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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.