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Finding the Fourth Proportional to 86,871.82, 119,894.42 and 48,645.92

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Solution

The fourth proportional to 86,871.82, 119,894.42 and 48,645.92 is: 67,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,871.82 : 119,894.42 = 48,645.92 : x
  2. Step 2: Convert to fraction form
    86,871.82/119,894.42 = 48,645.92/x
  3. Step 3: Cross multiply
    86,871.82x = 119,894.42 × 48,645.92
  4. Step 4: Simplify right side
    86,871.82x = 5,832,374,420.27
  5. Step 5: Solve for x
    x = 5,832,374,420.27/86,871.82
  6. Step 6: Final answer
    x = 67,137.70

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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.