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Finding the Fourth Proportional to 32,506.96, 48,760.68 and 10,320.40

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Solution

The fourth proportional to 32,506.96, 48,760.68 and 10,320.40 is: 15,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.96 : 48,760.68 = 10,320.40 : x
  2. Step 2: Convert to fraction form
    32,506.96/48,760.68 = 10,320.40/x
  3. Step 3: Cross multiply
    32,506.96x = 48,760.68 × 10,320.40
  4. Step 4: Simplify right side
    32,506.96x = 503,229,721.87
  5. Step 5: Solve for x
    x = 503,229,721.87/32,506.96
  6. Step 6: Final answer
    x = 15,480.68

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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.