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Finding the Fourth Proportional to 52,538.92, 78,780.54 and 22,922.16

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Solution

The fourth proportional to 52,538.92, 78,780.54 and 22,922.16 is: 34,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538.92 : 78,780.54 = 22,922.16 : x
  2. Step 2: Convert to fraction form
    52,538.92/78,780.54 = 22,922.16/x
  3. Step 3: Cross multiply
    52,538.92x = 78,780.54 × 22,922.16
  4. Step 4: Simplify right side
    52,538.92x = 1,805,820,142.77
  5. Step 5: Solve for x
    x = 1,805,820,142.77/52,538.92
  6. Step 6: Final answer
    x = 34,371.09

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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.