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Finding the Fourth Proportional to 31,386, 43,312.80 and 17,957.36

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Solution

The fourth proportional to 31,386, 43,312.80 and 17,957.36 is: 24,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386 : 43,312.80 = 17,957.36 : x
  2. Step 2: Convert to fraction form
    31,386/43,312.80 = 17,957.36/x
  3. Step 3: Cross multiply
    31,386x = 43,312.80 × 17,957.36
  4. Step 4: Simplify right side
    31,386x = 777,783,542.21
  5. Step 5: Solve for x
    x = 777,783,542.21/31,386
  6. Step 6: Final answer
    x = 24,781.23

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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.