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Finding the Fourth Proportional to 59,646.41, 82,311.38 and 32,421.90

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Solution

The fourth proportional to 59,646.41, 82,311.38 and 32,421.90 is: 44,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,646.41 : 82,311.38 = 32,421.90 : x
  2. Step 2: Convert to fraction form
    59,646.41/82,311.38 = 32,421.90/x
  3. Step 3: Cross multiply
    59,646.41x = 82,311.38 × 32,421.90
  4. Step 4: Simplify right side
    59,646.41x = 2,668,691,169.11
  5. Step 5: Solve for x
    x = 2,668,691,169.11/59,646.41
  6. Step 6: Final answer
    x = 44,741.86

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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.