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Finding the Fourth Proportional to 31,881.84, 43,997.89 and 17,543.16

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Solution

The fourth proportional to 31,881.84, 43,997.89 and 17,543.16 is: 24,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.84 : 43,997.89 = 17,543.16 : x
  2. Step 2: Convert to fraction form
    31,881.84/43,997.89 = 17,543.16/x
  3. Step 3: Cross multiply
    31,881.84x = 43,997.89 × 17,543.16
  4. Step 4: Simplify right side
    31,881.84x = 771,861,803.94
  5. Step 5: Solve for x
    x = 771,861,803.94/31,881.84
  6. Step 6: Final answer
    x = 24,210.08

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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.