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Finding the Fourth Proportional to 51,738.48, 71,398.68 and 29,382

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Solution

The fourth proportional to 51,738.48, 71,398.68 and 29,382 is: 40,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,738.48 : 71,398.68 = 29,382 : x
  2. Step 2: Convert to fraction form
    51,738.48/71,398.68 = 29,382/x
  3. Step 3: Cross multiply
    51,738.48x = 71,398.68 × 29,382
  4. Step 4: Simplify right side
    51,738.48x = 2,097,836,015.76
  5. Step 5: Solve for x
    x = 2,097,836,015.76/51,738.48
  6. Step 6: Final answer
    x = 40,546.92

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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.