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Finding the Fourth Proportional to 38,567.88, 53,222.22 and 21,801.24

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Solution

The fourth proportional to 38,567.88, 53,222.22 and 21,801.24 is: 30,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,567.88 : 53,222.22 = 21,801.24 : x
  2. Step 2: Convert to fraction form
    38,567.88/53,222.22 = 21,801.24/x
  3. Step 3: Cross multiply
    38,567.88x = 53,222.22 × 21,801.24
  4. Step 4: Simplify right side
    38,567.88x = 1,160,310,391.55
  5. Step 5: Solve for x
    x = 1,160,310,391.55/38,567.88
  6. Step 6: Final answer
    x = 30,084.89

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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.