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Finding the Fourth Proportional to 82,357.92, 113,593.92 and 52,148.16

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Solution

The fourth proportional to 82,357.92, 113,593.92 and 52,148.16 is: 71,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,357.92 : 113,593.92 = 52,148.16 : x
  2. Step 2: Convert to fraction form
    82,357.92/113,593.92 = 52,148.16/x
  3. Step 3: Cross multiply
    82,357.92x = 113,593.92 × 52,148.16
  4. Step 4: Simplify right side
    82,357.92x = 5,923,713,915.19
  5. Step 5: Solve for x
    x = 5,923,713,915.19/82,357.92
  6. Step 6: Final answer
    x = 71,926.46

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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.