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Finding the Fourth Proportional to 27,475.38, 37,916.04 and 14,900.12

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Solution

The fourth proportional to 27,475.38, 37,916.04 and 14,900.12 is: 20,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475.38 : 37,916.04 = 14,900.12 : x
  2. Step 2: Convert to fraction form
    27,475.38/37,916.04 = 14,900.12/x
  3. Step 3: Cross multiply
    27,475.38x = 37,916.04 × 14,900.12
  4. Step 4: Simplify right side
    27,475.38x = 564,953,545.92
  5. Step 5: Solve for x
    x = 564,953,545.92/27,475.38
  6. Step 6: Final answer
    x = 20,562.17

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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.