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Finding the Fourth Proportional to 31,875.88, 43,990.34 and 17,729

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Solution

The fourth proportional to 31,875.88, 43,990.34 and 17,729 is: 24,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.88 : 43,990.34 = 17,729 : x
  2. Step 2: Convert to fraction form
    31,875.88/43,990.34 = 17,729/x
  3. Step 3: Cross multiply
    31,875.88x = 43,990.34 × 17,729
  4. Step 4: Simplify right side
    31,875.88x = 779,904,737.86
  5. Step 5: Solve for x
    x = 779,904,737.86/31,875.88
  6. Step 6: Final answer
    x = 24,466.92

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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.