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Finding the Fourth Proportional to 32,932.97, 49,390.64 and 9,239.10

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Solution

The fourth proportional to 32,932.97, 49,390.64 and 9,239.10 is: 13,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932.97 : 49,390.64 = 9,239.10 : x
  2. Step 2: Convert to fraction form
    32,932.97/49,390.64 = 9,239.10/x
  3. Step 3: Cross multiply
    32,932.97x = 49,390.64 × 9,239.10
  4. Step 4: Simplify right side
    32,932.97x = 456,325,062.02
  5. Step 5: Solve for x
    x = 456,325,062.02/32,932.97
  6. Step 6: Final answer
    x = 13,856.18

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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.