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Finding the Fourth Proportional to 82,483.70, 113,827.49 and 44,757.95

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Solution

The fourth proportional to 82,483.70, 113,827.49 and 44,757.95 is: 61,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,483.70 : 113,827.49 = 44,757.95 : x
  2. Step 2: Convert to fraction form
    82,483.70/113,827.49 = 44,757.95/x
  3. Step 3: Cross multiply
    82,483.70x = 113,827.49 × 44,757.95
  4. Step 4: Simplify right side
    82,483.70x = 5,094,684,313.12
  5. Step 5: Solve for x
    x = 5,094,684,313.12/82,483.70
  6. Step 6: Final answer
    x = 61,765.96

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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.