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Finding the Fourth Proportional to 48,614.16, 72,921.23 and 11,678.16

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Solution

The fourth proportional to 48,614.16, 72,921.23 and 11,678.16 is: 17,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,614.16 : 72,921.23 = 11,678.16 : x
  2. Step 2: Convert to fraction form
    48,614.16/72,921.23 = 11,678.16/x
  3. Step 3: Cross multiply
    48,614.16x = 72,921.23 × 11,678.16
  4. Step 4: Simplify right side
    48,614.16x = 851,585,820.53
  5. Step 5: Solve for x
    x = 851,585,820.53/48,614.16
  6. Step 6: Final answer
    x = 17,517.24

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1.5x scale

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.