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Finding the Fourth Proportional to 82,158, 113,378.08 and 44,432.24

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Solution

The fourth proportional to 82,158, 113,378.08 and 44,432.24 is: 61,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,158 : 113,378.08 = 44,432.24 : x
  2. Step 2: Convert to fraction form
    82,158/113,378.08 = 44,432.24/x
  3. Step 3: Cross multiply
    82,158x = 113,378.08 × 44,432.24
  4. Step 4: Simplify right side
    82,158x = 5,037,642,061.30
  5. Step 5: Solve for x
    x = 5,037,642,061.30/82,158
  6. Step 6: Final answer
    x = 61,316.51

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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.