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Finding the Fourth Proportional to 31,932.06, 44,066.22 and 17,784.88

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Solution

The fourth proportional to 31,932.06, 44,066.22 and 17,784.88 is: 24,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932.06 : 44,066.22 = 17,784.88 : x
  2. Step 2: Convert to fraction form
    31,932.06/44,066.22 = 17,784.88/x
  3. Step 3: Cross multiply
    31,932.06x = 44,066.22 × 17,784.88
  4. Step 4: Simplify right side
    31,932.06x = 783,712,434.75
  5. Step 5: Solve for x
    x = 783,712,434.75/31,932.06
  6. Step 6: Final answer
    x = 24,543.12

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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.