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Finding the Fourth Proportional to 82,595.66, 113,972.34 and 48,596.66

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Solution

The fourth proportional to 82,595.66, 113,972.34 and 48,596.66 is: 67,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,595.66 : 113,972.34 = 48,596.66 : x
  2. Step 2: Convert to fraction form
    82,595.66/113,972.34 = 48,596.66/x
  3. Step 3: Cross multiply
    82,595.66x = 113,972.34 × 48,596.66
  4. Step 4: Simplify right side
    82,595.66x = 5,538,675,056.38
  5. Step 5: Solve for x
    x = 5,538,675,056.38/82,595.66
  6. Step 6: Final answer
    x = 67,057.70

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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.