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Finding the Fourth Proportional to 31,616.12, 47,447.55 and 14,976.23

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Solution

The fourth proportional to 31,616.12, 47,447.55 and 14,976.23 is: 22,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.12 : 47,447.55 = 14,976.23 : x
  2. Step 2: Convert to fraction form
    31,616.12/47,447.55 = 14,976.23/x
  3. Step 3: Cross multiply
    31,616.12x = 47,447.55 × 14,976.23
  4. Step 4: Simplify right side
    31,616.12x = 710,585,184.50
  5. Step 5: Solve for x
    x = 710,585,184.50/31,616.12
  6. Step 6: Final answer
    x = 22,475.41

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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.