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Finding the Fourth Proportional to 85,193.25, 127,806.29 and 38,446.13

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Solution

The fourth proportional to 85,193.25, 127,806.29 and 38,446.13 is: 57,676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,193.25 : 127,806.29 = 38,446.13 : x
  2. Step 2: Convert to fraction form
    85,193.25/127,806.29 = 38,446.13/x
  3. Step 3: Cross multiply
    85,193.25x = 127,806.29 × 38,446.13
  4. Step 4: Simplify right side
    85,193.25x = 4,913,656,408.90
  5. Step 5: Solve for x
    x = 4,913,656,408.90/85,193.25
  6. Step 6: Final answer
    x = 57,676.59

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1.5x scale

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.