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Finding the Fourth Proportional to 32,658.53, 48,716.68 and 31,565.27

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Solution

The fourth proportional to 32,658.53, 48,716.68 and 31,565.27 is: 47,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,658.53 : 48,716.68 = 31,565.27 : x
  2. Step 2: Convert to fraction form
    32,658.53/48,716.68 = 31,565.27/x
  3. Step 3: Cross multiply
    32,658.53x = 48,716.68 × 31,565.27
  4. Step 4: Simplify right side
    32,658.53x = 1,537,754,835.21
  5. Step 5: Solve for x
    x = 1,537,754,835.21/32,658.53
  6. Step 6: Final answer
    x = 47,085.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.