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Finding the Fourth Proportional to 32,972.16, 49,453.44 and 9,592.32

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Solution

The fourth proportional to 32,972.16, 49,453.44 and 9,592.32 is: 14,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972.16 : 49,453.44 = 9,592.32 : x
  2. Step 2: Convert to fraction form
    32,972.16/49,453.44 = 9,592.32/x
  3. Step 3: Cross multiply
    32,972.16x = 49,453.44 × 9,592.32
  4. Step 4: Simplify right side
    32,972.16x = 474,373,221.58
  5. Step 5: Solve for x
    x = 474,373,221.58/32,972.16
  6. Step 6: Final answer
    x = 14,387.08

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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.