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Finding the Fourth Proportional to 31,182, 43,032.11 and 17,035.76

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Solution

The fourth proportional to 31,182, 43,032.11 and 17,035.76 is: 23,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182 : 43,032.11 = 17,035.76 : x
  2. Step 2: Convert to fraction form
    31,182/43,032.11 = 17,035.76/x
  3. Step 3: Cross multiply
    31,182x = 43,032.11 × 17,035.76
  4. Step 4: Simplify right side
    31,182x = 733,084,397.91
  5. Step 5: Solve for x
    x = 733,084,397.91/31,182
  6. Step 6: Final answer
    x = 23,509.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.