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Finding the Fourth Proportional to 52,338.78, 78,508.17 and 14,902.74

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Solution

The fourth proportional to 52,338.78, 78,508.17 and 14,902.74 is: 22,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338.78 : 78,508.17 = 14,902.74 : x
  2. Step 2: Convert to fraction form
    52,338.78/78,508.17 = 14,902.74/x
  3. Step 3: Cross multiply
    52,338.78x = 78,508.17 × 14,902.74
  4. Step 4: Simplify right side
    52,338.78x = 1,169,986,845.39
  5. Step 5: Solve for x
    x = 1,169,986,845.39/52,338.78
  6. Step 6: Final answer
    x = 22,354.11

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1.5x scale

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.