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Finding the Fourth Proportional to 32,658.40, 48,987.28 and 9,281.76

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Solution

The fourth proportional to 32,658.40, 48,987.28 and 9,281.76 is: 13,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,658.40 : 48,987.28 = 9,281.76 : x
  2. Step 2: Convert to fraction form
    32,658.40/48,987.28 = 9,281.76/x
  3. Step 3: Cross multiply
    32,658.40x = 48,987.28 × 9,281.76
  4. Step 4: Simplify right side
    32,658.40x = 454,688,176.01
  5. Step 5: Solve for x
    x = 454,688,176.01/32,658.40
  6. Step 6: Final answer
    x = 13,922.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.