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Finding the Fourth Proportional to 38,732.68, 53,461.57 and 22,822.12

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Solution

The fourth proportional to 38,732.68, 53,461.57 and 22,822.12 is: 31,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,732.68 : 53,461.57 = 22,822.12 : x
  2. Step 2: Convert to fraction form
    38,732.68/53,461.57 = 22,822.12/x
  3. Step 3: Cross multiply
    38,732.68x = 53,461.57 × 22,822.12
  4. Step 4: Simplify right side
    38,732.68x = 1,220,106,098.62
  5. Step 5: Solve for x
    x = 1,220,106,098.62/38,732.68
  6. Step 6: Final answer
    x = 31,500.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.