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Finding the Fourth Proportional to 47,052.71, 64,920.11 and 27,916.57

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Solution

The fourth proportional to 47,052.71, 64,920.11 and 27,916.57 is: 38,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,052.71 : 64,920.11 = 27,916.57 : x
  2. Step 2: Convert to fraction form
    47,052.71/64,920.11 = 27,916.57/x
  3. Step 3: Cross multiply
    47,052.71x = 64,920.11 × 27,916.57
  4. Step 4: Simplify right side
    47,052.71x = 1,812,346,795.22
  5. Step 5: Solve for x
    x = 1,812,346,795.22/47,052.71
  6. Step 6: Final answer
    x = 38,517.37

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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.