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Finding the Fourth Proportional to 39,157.83, 54,013.22 and 23,231

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Solution

The fourth proportional to 39,157.83, 54,013.22 and 23,231 is: 32,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,157.83 : 54,013.22 = 23,231 : x
  2. Step 2: Convert to fraction form
    39,157.83/54,013.22 = 23,231/x
  3. Step 3: Cross multiply
    39,157.83x = 54,013.22 × 23,231
  4. Step 4: Simplify right side
    39,157.83x = 1,254,781,113.82
  5. Step 5: Solve for x
    x = 1,254,781,113.82/39,157.83
  6. Step 6: Final answer
    x = 32,044.19

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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.