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Finding the Fourth Proportional to 51,948, 71,688.24 and 29,592

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Solution

The fourth proportional to 51,948, 71,688.24 and 29,592 is: 40,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948 : 71,688.24 = 29,592 : x
  2. Step 2: Convert to fraction form
    51,948/71,688.24 = 29,592/x
  3. Step 3: Cross multiply
    51,948x = 71,688.24 × 29,592
  4. Step 4: Simplify right side
    51,948x = 2,121,398,398.08
  5. Step 5: Solve for x
    x = 2,121,398,398.08/51,948
  6. Step 6: Final answer
    x = 40,836.96

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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.