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Finding the Fourth Proportional to 60,045.30, 82,862.84 and 32,821.42

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Solution

The fourth proportional to 60,045.30, 82,862.84 and 32,821.42 is: 45,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,045.30 : 82,862.84 = 32,821.42 : x
  2. Step 2: Convert to fraction form
    60,045.30/82,862.84 = 32,821.42/x
  3. Step 3: Cross multiply
    60,045.30x = 82,862.84 × 32,821.42
  4. Step 4: Simplify right side
    60,045.30x = 2,719,676,306.58
  5. Step 5: Solve for x
    x = 2,719,676,306.58/60,045.30
  6. Step 6: Final answer
    x = 45,293.74

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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.