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Finding the Fourth Proportional to 38,661.69, 53,348.14 and 22,740.33

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Solution

The fourth proportional to 38,661.69, 53,348.14 and 22,740.33 is: 31,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,661.69 : 53,348.14 = 22,740.33 : x
  2. Step 2: Convert to fraction form
    38,661.69/53,348.14 = 22,740.33/x
  3. Step 3: Cross multiply
    38,661.69x = 53,348.14 × 22,740.33
  4. Step 4: Simplify right side
    38,661.69x = 1,213,154,308.49
  5. Step 5: Solve for x
    x = 1,213,154,308.49/38,661.69
  6. Step 6: Final answer
    x = 31,378.72

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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.