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Finding the Fourth Proportional to 38,150.25, 52,647.35 and 23,246.25

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Solution

The fourth proportional to 38,150.25, 52,647.35 and 23,246.25 is: 32,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,150.25 : 52,647.35 = 23,246.25 : x
  2. Step 2: Convert to fraction form
    38,150.25/52,647.35 = 23,246.25/x
  3. Step 3: Cross multiply
    38,150.25x = 52,647.35 × 23,246.25
  4. Step 4: Simplify right side
    38,150.25x = 1,223,853,343.71
  5. Step 5: Solve for x
    x = 1,223,853,343.71/38,150.25
  6. Step 6: Final answer
    x = 32,079.83

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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.