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Finding the Fourth Proportional to 48,456.84, 72,624.78 and 17,257.80

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Solution

The fourth proportional to 48,456.84, 72,624.78 and 17,257.80 is: 25,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,456.84 : 72,624.78 = 17,257.80 : x
  2. Step 2: Convert to fraction form
    48,456.84/72,624.78 = 17,257.80/x
  3. Step 3: Cross multiply
    48,456.84x = 72,624.78 × 17,257.80
  4. Step 4: Simplify right side
    48,456.84x = 1,253,343,928.28
  5. Step 5: Solve for x
    x = 1,253,343,928.28/48,456.84
  6. Step 6: Final answer
    x = 25,865.16

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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.