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Finding the Fourth Proportional to 83,272, 124,898.82 and 20,942.50

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Solution

The fourth proportional to 83,272, 124,898.82 and 20,942.50 is: 31,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,272 : 124,898.82 = 20,942.50 : x
  2. Step 2: Convert to fraction form
    83,272/124,898.82 = 20,942.50/x
  3. Step 3: Cross multiply
    83,272x = 124,898.82 × 20,942.50
  4. Step 4: Simplify right side
    83,272x = 2,615,693,537.85
  5. Step 5: Solve for x
    x = 2,615,693,537.85/83,272
  6. Step 6: Final answer
    x = 31,411.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.