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Finding the Fourth Proportional to 59,494.80, 89,285.36 and 47,947.44

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Solution

The fourth proportional to 59,494.80, 89,285.36 and 47,947.44 is: 71,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,494.80 : 89,285.36 = 47,947.44 : x
  2. Step 2: Convert to fraction form
    59,494.80/89,285.36 = 47,947.44/x
  3. Step 3: Cross multiply
    59,494.80x = 89,285.36 × 47,947.44
  4. Step 4: Simplify right side
    59,494.80x = 4,281,004,441.48
  5. Step 5: Solve for x
    x = 4,281,004,441.48/59,494.80
  6. Step 6: Final answer
    x = 71,955.94

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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.