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Finding the Fourth Proportional to 82,865.08, 114,349.86 and 47,050.38

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Solution

The fourth proportional to 82,865.08, 114,349.86 and 47,050.38 is: 64,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865.08 : 114,349.86 = 47,050.38 : x
  2. Step 2: Convert to fraction form
    82,865.08/114,349.86 = 47,050.38/x
  3. Step 3: Cross multiply
    82,865.08x = 114,349.86 × 47,050.38
  4. Step 4: Simplify right side
    82,865.08x = 5,380,204,365.95
  5. Step 5: Solve for x
    x = 5,380,204,365.95/82,865.08
  6. Step 6: Final answer
    x = 64,927.28

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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.