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Finding the Fourth Proportional to 59,580.80, 89,340.64 and 31,516

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Solution

The fourth proportional to 59,580.80, 89,340.64 and 31,516 is: 47,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,580.80 : 89,340.64 = 31,516 : x
  2. Step 2: Convert to fraction form
    59,580.80/89,340.64 = 31,516/x
  3. Step 3: Cross multiply
    59,580.80x = 89,340.64 × 31,516
  4. Step 4: Simplify right side
    59,580.80x = 2,815,659,610.24
  5. Step 5: Solve for x
    x = 2,815,659,610.24/59,580.80
  6. Step 6: Final answer
    x = 47,257.83

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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.