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Finding the Fourth Proportional to 59,474.88, 89,091.36 and 47,724.48

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Solution

The fourth proportional to 59,474.88, 89,091.36 and 47,724.48 is: 71,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,474.88 : 89,091.36 = 47,724.48 : x
  2. Step 2: Convert to fraction form
    59,474.88/89,091.36 = 47,724.48/x
  3. Step 3: Cross multiply
    59,474.88x = 89,091.36 × 47,724.48
  4. Step 4: Simplify right side
    59,474.88x = 4,251,838,828.49
  5. Step 5: Solve for x
    x = 4,251,838,828.49/59,474.88
  6. Step 6: Final answer
    x = 71,489.66

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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.