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Finding the Fourth Proportional to 34,548.68, 47,684.04 and 22,432.24

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Solution

The fourth proportional to 34,548.68, 47,684.04 and 22,432.24 is: 30,960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,548.68 : 47,684.04 = 22,432.24 : x
  2. Step 2: Convert to fraction form
    34,548.68/47,684.04 = 22,432.24/x
  3. Step 3: Cross multiply
    34,548.68x = 47,684.04 × 22,432.24
  4. Step 4: Simplify right side
    34,548.68x = 1,069,659,931.12
  5. Step 5: Solve for x
    x = 1,069,659,931.12/34,548.68
  6. Step 6: Final answer
    x = 30,960.95

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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.