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Finding the Fourth Proportional to 52,045.88, 71,823.31 and 29,689.88

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Solution

The fourth proportional to 52,045.88, 71,823.31 and 29,689.88 is: 40,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045.88 : 71,823.31 = 29,689.88 : x
  2. Step 2: Convert to fraction form
    52,045.88/71,823.31 = 29,689.88/x
  3. Step 3: Cross multiply
    52,045.88x = 71,823.31 × 29,689.88
  4. Step 4: Simplify right side
    52,045.88x = 2,132,425,021.76
  5. Step 5: Solve for x
    x = 2,132,425,021.76/52,045.88
  6. Step 6: Final answer
    x = 40,972.03

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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.