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Finding the Fourth Proportional to 38,704, 53,422.92 and 25,277.32

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Solution

The fourth proportional to 38,704, 53,422.92 and 25,277.32 is: 34,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704 : 53,422.92 = 25,277.32 : x
  2. Step 2: Convert to fraction form
    38,704/53,422.92 = 25,277.32/x
  3. Step 3: Cross multiply
    38,704x = 53,422.92 × 25,277.32
  4. Step 4: Simplify right side
    38,704x = 1,350,388,244.17
  5. Step 5: Solve for x
    x = 1,350,388,244.17/38,704
  6. Step 6: Final answer
    x = 34,890.15

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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.