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Finding the Fourth Proportional to 38,422.85, 53,028.71 and 22,513.64

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Solution

The fourth proportional to 38,422.85, 53,028.71 and 22,513.64 is: 31,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.85 : 53,028.71 = 22,513.64 : x
  2. Step 2: Convert to fraction form
    38,422.85/53,028.71 = 22,513.64/x
  3. Step 3: Cross multiply
    38,422.85x = 53,028.71 × 22,513.64
  4. Step 4: Simplify right side
    38,422.85x = 1,193,869,174.04
  5. Step 5: Solve for x
    x = 1,193,869,174.04/38,422.85
  6. Step 6: Final answer
    x = 31,071.85

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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.