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Finding the Fourth Proportional to 32,972.67, 49,462.04 and 9,280.58

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Solution

The fourth proportional to 32,972.67, 49,462.04 and 9,280.58 is: 13,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972.67 : 49,462.04 = 9,280.58 : x
  2. Step 2: Convert to fraction form
    32,972.67/49,462.04 = 9,280.58/x
  3. Step 3: Cross multiply
    32,972.67x = 49,462.04 × 9,280.58
  4. Step 4: Simplify right side
    32,972.67x = 459,036,195.07
  5. Step 5: Solve for x
    x = 459,036,195.07/32,972.67
  6. Step 6: Final answer
    x = 13,921.72

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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.