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Finding the Fourth Proportional to 48,392.84, 72,599.52 and 17,228

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Solution

The fourth proportional to 48,392.84, 72,599.52 and 17,228 is: 25,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,392.84 : 72,599.52 = 17,228 : x
  2. Step 2: Convert to fraction form
    48,392.84/72,599.52 = 17,228/x
  3. Step 3: Cross multiply
    48,392.84x = 72,599.52 × 17,228
  4. Step 4: Simplify right side
    48,392.84x = 1,250,744,530.56
  5. Step 5: Solve for x
    x = 1,250,744,530.56/48,392.84
  6. Step 6: Final answer
    x = 25,845.65

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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.