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Finding the Fourth Proportional to 32,771, 49,156.44 and 9,397.44

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Solution

The fourth proportional to 32,771, 49,156.44 and 9,397.44 is: 14,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771 : 49,156.44 = 9,397.44 : x
  2. Step 2: Convert to fraction form
    32,771/49,156.44 = 9,397.44/x
  3. Step 3: Cross multiply
    32,771x = 49,156.44 × 9,397.44
  4. Step 4: Simplify right side
    32,771x = 461,944,695.51
  5. Step 5: Solve for x
    x = 461,944,695.51/32,771
  6. Step 6: Final answer
    x = 14,096.14

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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.