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Finding the Fourth Proportional to 72,476.24, 108,713.76 and 47,672.96

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Solution

The fourth proportional to 72,476.24, 108,713.76 and 47,672.96 is: 71,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,476.24 : 108,713.76 = 47,672.96 : x
  2. Step 2: Convert to fraction form
    72,476.24/108,713.76 = 47,672.96/x
  3. Step 3: Cross multiply
    72,476.24x = 108,713.76 × 47,672.96
  4. Step 4: Simplify right side
    72,476.24x = 5,182,706,731.93
  5. Step 5: Solve for x
    x = 5,182,706,731.93/72,476.24
  6. Step 6: Final answer
    x = 71,509.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.