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Finding the Fourth Proportional to 51,840, 71,542.44 and 29,484

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Solution

The fourth proportional to 51,840, 71,542.44 and 29,484 is: 40,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840 : 71,542.44 = 29,484 : x
  2. Step 2: Convert to fraction form
    51,840/71,542.44 = 29,484/x
  3. Step 3: Cross multiply
    51,840x = 71,542.44 × 29,484
  4. Step 4: Simplify right side
    51,840x = 2,109,357,300.96
  5. Step 5: Solve for x
    x = 2,109,357,300.96/51,840
  6. Step 6: Final answer
    x = 40,689.76

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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.