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Finding the Fourth Proportional to 55,651.56, 83,487.06 and 24,486

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Solution

The fourth proportional to 55,651.56, 83,487.06 and 24,486 is: 36,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,651.56 : 83,487.06 = 24,486 : x
  2. Step 2: Convert to fraction form
    55,651.56/83,487.06 = 24,486/x
  3. Step 3: Cross multiply
    55,651.56x = 83,487.06 × 24,486
  4. Step 4: Simplify right side
    55,651.56x = 2,044,264,151.16
  5. Step 5: Solve for x
    x = 2,044,264,151.16/55,651.56
  6. Step 6: Final answer
    x = 36,733.28

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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.