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Finding the Fourth Proportional to 71,476.44, 98,594.58 and 47,277.96

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Solution

The fourth proportional to 71,476.44, 98,594.58 and 47,277.96 is: 65,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,476.44 : 98,594.58 = 47,277.96 : x
  2. Step 2: Convert to fraction form
    71,476.44/98,594.58 = 47,277.96/x
  3. Step 3: Cross multiply
    71,476.44x = 98,594.58 × 47,277.96
  4. Step 4: Simplify right side
    71,476.44x = 4,661,350,609.46
  5. Step 5: Solve for x
    x = 4,661,350,609.46/71,476.44
  6. Step 6: Final answer
    x = 65,215.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.