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Finding the Fourth Proportional to 31,625.80, 47,454.08 and 14,965.99

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Solution

The fourth proportional to 31,625.80, 47,454.08 and 14,965.99 is: 22,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,625.80 : 47,454.08 = 14,965.99 : x
  2. Step 2: Convert to fraction form
    31,625.80/47,454.08 = 14,965.99/x
  3. Step 3: Cross multiply
    31,625.80x = 47,454.08 × 14,965.99
  4. Step 4: Simplify right side
    31,625.80x = 710,197,286.74
  5. Step 5: Solve for x
    x = 710,197,286.74/31,625.80
  6. Step 6: Final answer
    x = 22,456.26

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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.