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Finding the Fourth Proportional to 31,770.80, 47,641.80 and 12,042.80

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Solution

The fourth proportional to 31,770.80, 47,641.80 and 12,042.80 is: 18,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.80 : 47,641.80 = 12,042.80 : x
  2. Step 2: Convert to fraction form
    31,770.80/47,641.80 = 12,042.80/x
  3. Step 3: Cross multiply
    31,770.80x = 47,641.80 × 12,042.80
  4. Step 4: Simplify right side
    31,770.80x = 573,740,669.04
  5. Step 5: Solve for x
    x = 573,740,669.04/31,770.80
  6. Step 6: Final answer
    x = 18,058.74

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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.