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Finding the Fourth Proportional to 70,514.47, 105,672.26 and 38,938.75

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Solution

The fourth proportional to 70,514.47, 105,672.26 and 38,938.75 is: 58,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,514.47 : 105,672.26 = 38,938.75 : x
  2. Step 2: Convert to fraction form
    70,514.47/105,672.26 = 38,938.75/x
  3. Step 3: Cross multiply
    70,514.47x = 105,672.26 × 38,938.75
  4. Step 4: Simplify right side
    70,514.47x = 4,114,745,255.20
  5. Step 5: Solve for x
    x = 4,114,745,255.20/70,514.47
  6. Step 6: Final answer
    x = 58,353.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.