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Finding the Fourth Proportional to 82,481.85, 113,824.97 and 46,671.14

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Solution

The fourth proportional to 82,481.85, 113,824.97 and 46,671.14 is: 64,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.85 : 113,824.97 = 46,671.14 : x
  2. Step 2: Convert to fraction form
    82,481.85/113,824.97 = 46,671.14/x
  3. Step 3: Cross multiply
    82,481.85x = 113,824.97 × 46,671.14
  4. Step 4: Simplify right side
    82,481.85x = 5,312,340,307.89
  5. Step 5: Solve for x
    x = 5,312,340,307.89/82,481.85
  6. Step 6: Final answer
    x = 64,406.17

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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.