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Finding the Fourth Proportional to 38,565.45, 53,220.71 and 22,650.17

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Solution

The fourth proportional to 38,565.45, 53,220.71 and 22,650.17 is: 31,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,565.45 : 53,220.71 = 22,650.17 : x
  2. Step 2: Convert to fraction form
    38,565.45/53,220.71 = 22,650.17/x
  3. Step 3: Cross multiply
    38,565.45x = 53,220.71 × 22,650.17
  4. Step 4: Simplify right side
    38,565.45x = 1,205,457,919.54
  5. Step 5: Solve for x
    x = 1,205,457,919.54/38,565.45
  6. Step 6: Final answer
    x = 31,257.46

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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.