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Finding the Fourth Proportional to 38,742, 53,403.31 and 25,306.53

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Solution

The fourth proportional to 38,742, 53,403.31 and 25,306.53 is: 34,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742 : 53,403.31 = 25,306.53 : x
  2. Step 2: Convert to fraction form
    38,742/53,403.31 = 25,306.53/x
  3. Step 3: Cross multiply
    38,742x = 53,403.31 × 25,306.53
  4. Step 4: Simplify right side
    38,742x = 1,351,452,340.08
  5. Step 5: Solve for x
    x = 1,351,452,340.08/38,742
  6. Step 6: Final answer
    x = 34,883.39

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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.