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Finding the Fourth Proportional to 38,665.38, 53,357.31 and 22,750.86

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Solution

The fourth proportional to 38,665.38, 53,357.31 and 22,750.86 is: 31,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,665.38 : 53,357.31 = 22,750.86 : x
  2. Step 2: Convert to fraction form
    38,665.38/53,357.31 = 22,750.86/x
  3. Step 3: Cross multiply
    38,665.38x = 53,357.31 × 22,750.86
  4. Step 4: Simplify right side
    38,665.38x = 1,213,924,423.00
  5. Step 5: Solve for x
    x = 1,213,924,423.00/38,665.38
  6. Step 6: Final answer
    x = 31,395.65

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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.