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Finding the Fourth Proportional to 51,169.84, 70,616.56 and 28,508.82

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Solution

The fourth proportional to 51,169.84, 70,616.56 and 28,508.82 is: 39,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,169.84 : 70,616.56 = 28,508.82 : x
  2. Step 2: Convert to fraction form
    51,169.84/70,616.56 = 28,508.82/x
  3. Step 3: Cross multiply
    51,169.84x = 70,616.56 × 28,508.82
  4. Step 4: Simplify right side
    51,169.84x = 2,013,194,798.06
  5. Step 5: Solve for x
    x = 2,013,194,798.06/51,169.84
  6. Step 6: Final answer
    x = 39,343.39

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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.