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Finding the Fourth Proportional to 47,710.88, 71,476.08 and 45,708.96

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Solution

The fourth proportional to 47,710.88, 71,476.08 and 45,708.96 is: 68,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,710.88 : 71,476.08 = 45,708.96 : x
  2. Step 2: Convert to fraction form
    47,710.88/71,476.08 = 45,708.96/x
  3. Step 3: Cross multiply
    47,710.88x = 71,476.08 × 45,708.96
  4. Step 4: Simplify right side
    47,710.88x = 3,267,097,281.68
  5. Step 5: Solve for x
    x = 3,267,097,281.68/47,710.88
  6. Step 6: Final answer
    x = 68,476.99

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Why These Related Problems?

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