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Finding the Fourth Proportional to 31,118.68, 42,951.54 and 18,541

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Solution

The fourth proportional to 31,118.68, 42,951.54 and 18,541 is: 25,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,118.68 : 42,951.54 = 18,541 : x
  2. Step 2: Convert to fraction form
    31,118.68/42,951.54 = 18,541/x
  3. Step 3: Cross multiply
    31,118.68x = 42,951.54 × 18,541
  4. Step 4: Simplify right side
    31,118.68x = 796,364,503.14
  5. Step 5: Solve for x
    x = 796,364,503.14/31,118.68
  6. Step 6: Final answer
    x = 25,591.20

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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.