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Finding the Fourth Proportional to 32,195.16, 48,292.78 and 18,315

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Solution

The fourth proportional to 32,195.16, 48,292.78 and 18,315 is: 27,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195.16 : 48,292.78 = 18,315 : x
  2. Step 2: Convert to fraction form
    32,195.16/48,292.78 = 18,315/x
  3. Step 3: Cross multiply
    32,195.16x = 48,292.78 × 18,315
  4. Step 4: Simplify right side
    32,195.16x = 884,482,265.70
  5. Step 5: Solve for x
    x = 884,482,265.70/32,195.16
  6. Step 6: Final answer
    x = 27,472.52

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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.