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Finding the Fourth Proportional to 52,881.38, 72,971.68 and 30,215.86

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Solution

The fourth proportional to 52,881.38, 72,971.68 and 30,215.86 is: 41,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,881.38 : 72,971.68 = 30,215.86 : x
  2. Step 2: Convert to fraction form
    52,881.38/72,971.68 = 30,215.86/x
  3. Step 3: Cross multiply
    52,881.38x = 72,971.68 × 30,215.86
  4. Step 4: Simplify right side
    52,881.38x = 2,204,902,066.84
  5. Step 5: Solve for x
    x = 2,204,902,066.84/52,881.38
  6. Step 6: Final answer
    x = 41,695.24

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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.