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Finding the Fourth Proportional to 51,248, 70,722.24 and 27,696

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Solution

The fourth proportional to 51,248, 70,722.24 and 27,696 is: 38,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,248 : 70,722.24 = 27,696 : x
  2. Step 2: Convert to fraction form
    51,248/70,722.24 = 27,696/x
  3. Step 3: Cross multiply
    51,248x = 70,722.24 × 27,696
  4. Step 4: Simplify right side
    51,248x = 1,958,723,159.04
  5. Step 5: Solve for x
    x = 1,958,723,159.04/51,248
  6. Step 6: Final answer
    x = 38,220.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.