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Finding the Fourth Proportional to 31,541.84, 43,527.17 and 17,932.32

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Solution

The fourth proportional to 31,541.84, 43,527.17 and 17,932.32 is: 24,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,541.84 : 43,527.17 = 17,932.32 : x
  2. Step 2: Convert to fraction form
    31,541.84/43,527.17 = 17,932.32/x
  3. Step 3: Cross multiply
    31,541.84x = 43,527.17 × 17,932.32
  4. Step 4: Simplify right side
    31,541.84x = 780,543,051.47
  5. Step 5: Solve for x
    x = 780,543,051.47/31,541.84
  6. Step 6: Final answer
    x = 24,746.28

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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.