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Finding the Fourth Proportional to 48,446.75, 72,681.06 and 17,282

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Solution

The fourth proportional to 48,446.75, 72,681.06 and 17,282 is: 25,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,446.75 : 72,681.06 = 17,282 : x
  2. Step 2: Convert to fraction form
    48,446.75/72,681.06 = 17,282/x
  3. Step 3: Cross multiply
    48,446.75x = 72,681.06 × 17,282
  4. Step 4: Simplify right side
    48,446.75x = 1,256,074,078.92
  5. Step 5: Solve for x
    x = 1,256,074,078.92/48,446.75
  6. Step 6: Final answer
    x = 25,926.90

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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.