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Finding the Fourth Proportional to 82,864.08, 114,353.20 and 47,054.89

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Solution

The fourth proportional to 82,864.08, 114,353.20 and 47,054.89 is: 64,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,864.08 : 114,353.20 = 47,054.89 : x
  2. Step 2: Convert to fraction form
    82,864.08/114,353.20 = 47,054.89/x
  3. Step 3: Cross multiply
    82,864.08x = 114,353.20 × 47,054.89
  4. Step 4: Simplify right side
    82,864.08x = 5,380,876,675.38
  5. Step 5: Solve for x
    x = 5,380,876,675.38/82,864.08
  6. Step 6: Final answer
    x = 64,936.18

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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.