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Finding the Fourth Proportional to 82,452.54, 113,778 and 48,462.30

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Solution

The fourth proportional to 82,452.54, 113,778 and 48,462.30 is: 66,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,452.54 : 113,778 = 48,462.30 : x
  2. Step 2: Convert to fraction form
    82,452.54/113,778 = 48,462.30/x
  3. Step 3: Cross multiply
    82,452.54x = 113,778 × 48,462.30
  4. Step 4: Simplify right side
    82,452.54x = 5,513,943,569.40
  5. Step 5: Solve for x
    x = 5,513,943,569.40/82,452.54
  6. Step 6: Final answer
    x = 66,874.15

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1.5x scale

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.