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Finding the Fourth Proportional to 82,314.86, 113,579.51 and 48,324.78

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Solution

The fourth proportional to 82,314.86, 113,579.51 and 48,324.78 is: 66,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314.86 : 113,579.51 = 48,324.78 : x
  2. Step 2: Convert to fraction form
    82,314.86/113,579.51 = 48,324.78/x
  3. Step 3: Cross multiply
    82,314.86x = 113,579.51 × 48,324.78
  4. Step 4: Simplify right side
    82,314.86x = 5,488,704,591.63
  5. Step 5: Solve for x
    x = 5,488,704,591.63/82,314.86
  6. Step 6: Final answer
    x = 66,679.39

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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.