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Finding the Fourth Proportional to 32,972.31, 49,458.45 and 9,600.57

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Solution

The fourth proportional to 32,972.31, 49,458.45 and 9,600.57 is: 14,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972.31 : 49,458.45 = 9,600.57 : x
  2. Step 2: Convert to fraction form
    32,972.31/49,458.45 = 9,600.57/x
  3. Step 3: Cross multiply
    32,972.31x = 49,458.45 × 9,600.57
  4. Step 4: Simplify right side
    32,972.31x = 474,829,311.32
  5. Step 5: Solve for x
    x = 474,829,311.32/32,972.31
  6. Step 6: Final answer
    x = 14,400.85

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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.