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Finding the Fourth Proportional to 82,876.15, 114,407.40 and 48,873.16

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Solution

The fourth proportional to 82,876.15, 114,407.40 and 48,873.16 is: 67,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,876.15 : 114,407.40 = 48,873.16 : x
  2. Step 2: Convert to fraction form
    82,876.15/114,407.40 = 48,873.16/x
  3. Step 3: Cross multiply
    82,876.15x = 114,407.40 × 48,873.16
  4. Step 4: Simplify right side
    82,876.15x = 5,591,451,165.38
  5. Step 5: Solve for x
    x = 5,591,451,165.38/82,876.15
  6. Step 6: Final answer
    x = 67,467.55

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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.