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Finding the Fourth Proportional to 31,406.29, 43,340.19 and 17,258.83

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Solution

The fourth proportional to 31,406.29, 43,340.19 and 17,258.83 is: 23,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.29 : 43,340.19 = 17,258.83 : x
  2. Step 2: Convert to fraction form
    31,406.29/43,340.19 = 17,258.83/x
  3. Step 3: Cross multiply
    31,406.29x = 43,340.19 × 17,258.83
  4. Step 4: Simplify right side
    31,406.29x = 748,000,971.38
  5. Step 5: Solve for x
    x = 748,000,971.38/31,406.29
  6. Step 6: Final answer
    x = 23,816.92

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Why These Related Problems?

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