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Finding the Fourth Proportional to 65,508.32, 98,252.90 and 32,219.46

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Solution

The fourth proportional to 65,508.32, 98,252.90 and 32,219.46 is: 48,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508.32 : 98,252.90 = 32,219.46 : x
  2. Step 2: Convert to fraction form
    65,508.32/98,252.90 = 32,219.46/x
  3. Step 3: Cross multiply
    65,508.32x = 98,252.90 × 32,219.46
  4. Step 4: Simplify right side
    65,508.32x = 3,165,655,381.43
  5. Step 5: Solve for x
    x = 3,165,655,381.43/65,508.32
  6. Step 6: Final answer
    x = 48,324.48

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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.