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Finding the Fourth Proportional to 77,146.96, 115,733.40 and 24,572.56

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Solution

The fourth proportional to 77,146.96, 115,733.40 and 24,572.56 is: 36,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,146.96 : 115,733.40 = 24,572.56 : x
  2. Step 2: Convert to fraction form
    77,146.96/115,733.40 = 24,572.56/x
  3. Step 3: Cross multiply
    77,146.96x = 115,733.40 × 24,572.56
  4. Step 4: Simplify right side
    77,146.96x = 2,843,865,915.50
  5. Step 5: Solve for x
    x = 2,843,865,915.50/77,146.96
  6. Step 6: Final answer
    x = 36,862.97

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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.