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Finding the Fourth Proportional to 38,854.65, 53,619.49 and 22,940.12

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Solution

The fourth proportional to 38,854.65, 53,619.49 and 22,940.12 is: 31,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854.65 : 53,619.49 = 22,940.12 : x
  2. Step 2: Convert to fraction form
    38,854.65/53,619.49 = 22,940.12/x
  3. Step 3: Cross multiply
    38,854.65x = 53,619.49 × 22,940.12
  4. Step 4: Simplify right side
    38,854.65x = 1,230,037,496.59
  5. Step 5: Solve for x
    x = 1,230,037,496.59/38,854.65
  6. Step 6: Final answer
    x = 31,657.41

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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.