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Finding the Fourth Proportional to 88,196.92, 121,713.12 and 47,911.48

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Solution

The fourth proportional to 88,196.92, 121,713.12 and 47,911.48 is: 66,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,196.92 : 121,713.12 = 47,911.48 : x
  2. Step 2: Convert to fraction form
    88,196.92/121,713.12 = 47,911.48/x
  3. Step 3: Cross multiply
    88,196.92x = 121,713.12 × 47,911.48
  4. Step 4: Simplify right side
    88,196.92x = 5,831,455,714.62
  5. Step 5: Solve for x
    x = 5,831,455,714.62/88,196.92
  6. Step 6: Final answer
    x = 66,118.59

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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.