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Finding the Fourth Proportional to 82,595.87, 113,972.61 and 48,596.87

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Solution

The fourth proportional to 82,595.87, 113,972.61 and 48,596.87 is: 67,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,595.87 : 113,972.61 = 48,596.87 : x
  2. Step 2: Convert to fraction form
    82,595.87/113,972.61 = 48,596.87/x
  3. Step 3: Cross multiply
    82,595.87x = 113,972.61 × 48,596.87
  4. Step 4: Simplify right side
    82,595.87x = 5,538,711,541.87
  5. Step 5: Solve for x
    x = 5,538,711,541.87/82,595.87
  6. Step 6: Final answer
    x = 67,057.98

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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.