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Finding the Fourth Proportional to 84,649.32, 126,977.04 and 32,062.68

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Solution

The fourth proportional to 84,649.32, 126,977.04 and 32,062.68 is: 48,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,649.32 : 126,977.04 = 32,062.68 : x
  2. Step 2: Convert to fraction form
    84,649.32/126,977.04 = 32,062.68/x
  3. Step 3: Cross multiply
    84,649.32x = 126,977.04 × 32,062.68
  4. Step 4: Simplify right side
    84,649.32x = 4,071,224,200.87
  5. Step 5: Solve for x
    x = 4,071,224,200.87/84,649.32
  6. Step 6: Final answer
    x = 48,095.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.