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Finding the Fourth Proportional to 52,001.71, 77,954.73 and 28,274.59

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Solution

The fourth proportional to 52,001.71, 77,954.73 and 28,274.59 is: 42,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001.71 : 77,954.73 = 28,274.59 : x
  2. Step 2: Convert to fraction form
    52,001.71/77,954.73 = 28,274.59/x
  3. Step 3: Cross multiply
    52,001.71x = 77,954.73 × 28,274.59
  4. Step 4: Simplify right side
    52,001.71x = 2,204,138,029.31
  5. Step 5: Solve for x
    x = 2,204,138,029.31/52,001.71
  6. Step 6: Final answer
    x = 42,385.88

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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.