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Finding the Fourth Proportional to 82,842.16, 114,318.12 and 47,027.38

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Solution

The fourth proportional to 82,842.16, 114,318.12 and 47,027.38 is: 64,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,842.16 : 114,318.12 = 47,027.38 : x
  2. Step 2: Convert to fraction form
    82,842.16/114,318.12 = 47,027.38/x
  3. Step 3: Cross multiply
    82,842.16x = 114,318.12 × 47,027.38
  4. Step 4: Simplify right side
    82,842.16x = 5,376,081,670.13
  5. Step 5: Solve for x
    x = 5,376,081,670.13/82,842.16
  6. Step 6: Final answer
    x = 64,895.48

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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.