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Finding the Fourth Proportional to 27,141, 40,711.50 and 10,508.46

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Solution

The fourth proportional to 27,141, 40,711.50 and 10,508.46 is: 15,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141 : 40,711.50 = 10,508.46 : x
  2. Step 2: Convert to fraction form
    27,141/40,711.50 = 10,508.46/x
  3. Step 3: Cross multiply
    27,141x = 40,711.50 × 10,508.46
  4. Step 4: Simplify right side
    27,141x = 427,815,169.29
  5. Step 5: Solve for x
    x = 427,815,169.29/27,141
  6. Step 6: Final answer
    x = 15,762.69

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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.