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Finding the Fourth Proportional to 48,640.16, 72,963.84 and 17,475.68

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Solution

The fourth proportional to 48,640.16, 72,963.84 and 17,475.68 is: 26,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,640.16 : 72,963.84 = 17,475.68 : x
  2. Step 2: Convert to fraction form
    48,640.16/72,963.84 = 17,475.68/x
  3. Step 3: Cross multiply
    48,640.16x = 72,963.84 × 17,475.68
  4. Step 4: Simplify right side
    48,640.16x = 1,275,092,719.41
  5. Step 5: Solve for x
    x = 1,275,092,719.41/48,640.16
  6. Step 6: Final answer
    x = 26,214.81

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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.