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Finding the Fourth Proportional to 84,617.32, 126,943.82 and 32,025.64

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Solution

The fourth proportional to 84,617.32, 126,943.82 and 32,025.64 is: 48,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,617.32 : 126,943.82 = 32,025.64 : x
  2. Step 2: Convert to fraction form
    84,617.32/126,943.82 = 32,025.64/x
  3. Step 3: Cross multiply
    84,617.32x = 126,943.82 × 32,025.64
  4. Step 4: Simplify right side
    84,617.32x = 4,065,457,079.54
  5. Step 5: Solve for x
    x = 4,065,457,079.54/84,617.32
  6. Step 6: Final answer
    x = 48,045.21

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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.