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Finding the Fourth Proportional to 81,493.82, 112,461.88 and 47,525.86

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Solution

The fourth proportional to 81,493.82, 112,461.88 and 47,525.86 is: 65,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,493.82 : 112,461.88 = 47,525.86 : x
  2. Step 2: Convert to fraction form
    81,493.82/112,461.88 = 47,525.86/x
  3. Step 3: Cross multiply
    81,493.82x = 112,461.88 × 47,525.86
  4. Step 4: Simplify right side
    81,493.82x = 5,344,847,564.22
  5. Step 5: Solve for x
    x = 5,344,847,564.22/81,493.82
  6. Step 6: Final answer
    x = 65,585.92

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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.