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Finding the Fourth Proportional to 32,972.52, 49,455.12 and 9,280.82

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Solution

The fourth proportional to 32,972.52, 49,455.12 and 9,280.82 is: 13,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972.52 : 49,455.12 = 9,280.82 : x
  2. Step 2: Convert to fraction form
    32,972.52/49,455.12 = 9,280.82/x
  3. Step 3: Cross multiply
    32,972.52x = 49,455.12 × 9,280.82
  4. Step 4: Simplify right side
    32,972.52x = 458,984,066.80
  5. Step 5: Solve for x
    x = 458,984,066.80/32,972.52
  6. Step 6: Final answer
    x = 13,920.20

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1.5x scale

Why These Related Problems?

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