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Finding the Fourth Proportional to 82,482.53, 113,827.21 and 44,756.78

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Solution

The fourth proportional to 82,482.53, 113,827.21 and 44,756.78 is: 61,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,482.53 : 113,827.21 = 44,756.78 : x
  2. Step 2: Convert to fraction form
    82,482.53/113,827.21 = 44,756.78/x
  3. Step 3: Cross multiply
    82,482.53x = 113,827.21 × 44,756.78
  4. Step 4: Simplify right side
    82,482.53x = 5,094,538,826.85
  5. Step 5: Solve for x
    x = 5,094,538,826.85/82,482.53
  6. Step 6: Final answer
    x = 61,765.07

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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.