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Finding the Fourth Proportional to 51,468.50, 71,026.54 and 27,916.50

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Solution

The fourth proportional to 51,468.50, 71,026.54 and 27,916.50 is: 38,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,468.50 : 71,026.54 = 27,916.50 : x
  2. Step 2: Convert to fraction form
    51,468.50/71,026.54 = 27,916.50/x
  3. Step 3: Cross multiply
    51,468.50x = 71,026.54 × 27,916.50
  4. Step 4: Simplify right side
    51,468.50x = 1,982,812,403.91
  5. Step 5: Solve for x
    x = 1,982,812,403.91/51,468.50
  6. Step 6: Final answer
    x = 38,524.78

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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.