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Finding the Fourth Proportional to 82,484.86, 113,822.85 and 48,494.74

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Solution

The fourth proportional to 82,484.86, 113,822.85 and 48,494.74 is: 66,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,484.86 : 113,822.85 = 48,494.74 : x
  2. Step 2: Convert to fraction form
    82,484.86/113,822.85 = 48,494.74/x
  3. Step 3: Cross multiply
    82,484.86x = 113,822.85 × 48,494.74
  4. Step 4: Simplify right side
    82,484.86x = 5,519,809,516.81
  5. Step 5: Solve for x
    x = 5,519,809,516.81/82,484.86
  6. Step 6: Final answer
    x = 66,919.06

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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.