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Finding the Fourth Proportional to 59,109.80, 88,616.10 and 31,407.80

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Solution

The fourth proportional to 59,109.80, 88,616.10 and 31,407.80 is: 47,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,109.80 : 88,616.10 = 31,407.80 : x
  2. Step 2: Convert to fraction form
    59,109.80/88,616.10 = 31,407.80/x
  3. Step 3: Cross multiply
    59,109.80x = 88,616.10 × 31,407.80
  4. Step 4: Simplify right side
    59,109.80x = 2,783,236,745.58
  5. Step 5: Solve for x
    x = 2,783,236,745.58/59,109.80
  6. Step 6: Final answer
    x = 47,085.88

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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.