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Finding the Fourth Proportional to 32,695.67, 49,043.97 and 9,322.11

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Solution

The fourth proportional to 32,695.67, 49,043.97 and 9,322.11 is: 13,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.67 : 49,043.97 = 9,322.11 : x
  2. Step 2: Convert to fraction form
    32,695.67/49,043.97 = 9,322.11/x
  3. Step 3: Cross multiply
    32,695.67x = 49,043.97 × 9,322.11
  4. Step 4: Simplify right side
    32,695.67x = 457,193,273.04
  5. Step 5: Solve for x
    x = 457,193,273.04/32,695.67
  6. Step 6: Final answer
    x = 13,983.30

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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.