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Finding the Fourth Proportional to 38,488, 57,434.16 and 34,340.80

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Solution

The fourth proportional to 38,488, 57,434.16 and 34,340.80 is: 51,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,488 : 57,434.16 = 34,340.80 : x
  2. Step 2: Convert to fraction form
    38,488/57,434.16 = 34,340.80/x
  3. Step 3: Cross multiply
    38,488x = 57,434.16 × 34,340.80
  4. Step 4: Simplify right side
    38,488x = 1,972,335,001.73
  5. Step 5: Solve for x
    x = 1,972,335,001.73/38,488
  6. Step 6: Final answer
    x = 51,245.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.