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Finding the Fourth Proportional to 38,847.80, 53,596.14 and 22,924.28

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Solution

The fourth proportional to 38,847.80, 53,596.14 and 22,924.28 is: 31,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,847.80 : 53,596.14 = 22,924.28 : x
  2. Step 2: Convert to fraction form
    38,847.80/53,596.14 = 22,924.28/x
  3. Step 3: Cross multiply
    38,847.80x = 53,596.14 × 22,924.28
  4. Step 4: Simplify right side
    38,847.80x = 1,228,652,920.28
  5. Step 5: Solve for x
    x = 1,228,652,920.28/38,847.80
  6. Step 6: Final answer
    x = 31,627.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.