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Finding the Fourth Proportional to 48,696.92, 73,056.32 and 15,419

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Solution

The fourth proportional to 48,696.92, 73,056.32 and 15,419 is: 23,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696.92 : 73,056.32 = 15,419 : x
  2. Step 2: Convert to fraction form
    48,696.92/73,056.32 = 15,419/x
  3. Step 3: Cross multiply
    48,696.92x = 73,056.32 × 15,419
  4. Step 4: Simplify right side
    48,696.92x = 1,126,455,398.08
  5. Step 5: Solve for x
    x = 1,126,455,398.08/48,696.92
  6. Step 6: Final answer
    x = 23,131.96

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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.