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Finding the Fourth Proportional to 71,087.94, 98,101.56 and 38,822.86

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Solution

The fourth proportional to 71,087.94, 98,101.56 and 38,822.86 is: 53,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,087.94 : 98,101.56 = 38,822.86 : x
  2. Step 2: Convert to fraction form
    71,087.94/98,101.56 = 38,822.86/x
  3. Step 3: Cross multiply
    71,087.94x = 98,101.56 × 38,822.86
  4. Step 4: Simplify right side
    71,087.94x = 3,808,583,129.66
  5. Step 5: Solve for x
    x = 3,808,583,129.66/71,087.94
  6. Step 6: Final answer
    x = 53,575.66

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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.