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Finding the Fourth Proportional to 31,696.86, 43,746.75 and 18,089.31

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Solution

The fourth proportional to 31,696.86, 43,746.75 and 18,089.31 is: 24,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.86 : 43,746.75 = 18,089.31 : x
  2. Step 2: Convert to fraction form
    31,696.86/43,746.75 = 18,089.31/x
  3. Step 3: Cross multiply
    31,696.86x = 43,746.75 × 18,089.31
  4. Step 4: Simplify right side
    31,696.86x = 791,348,522.24
  5. Step 5: Solve for x
    x = 791,348,522.24/31,696.86
  6. Step 6: Final answer
    x = 24,966.15

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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.