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Finding the Fourth Proportional to 31,985.58, 44,141 and 17,839.32

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Solution

The fourth proportional to 31,985.58, 44,141 and 17,839.32 is: 24,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.58 : 44,141 = 17,839.32 : x
  2. Step 2: Convert to fraction form
    31,985.58/44,141 = 17,839.32/x
  3. Step 3: Cross multiply
    31,985.58x = 44,141 × 17,839.32
  4. Step 4: Simplify right side
    31,985.58x = 787,445,424.12
  5. Step 5: Solve for x
    x = 787,445,424.12/31,985.58
  6. Step 6: Final answer
    x = 24,618.76

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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.