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Finding the Fourth Proportional to 50,805.82, 70,112.01 and 28,146.28

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Solution

The fourth proportional to 50,805.82, 70,112.01 and 28,146.28 is: 38,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,805.82 : 70,112.01 = 28,146.28 : x
  2. Step 2: Convert to fraction form
    50,805.82/70,112.01 = 28,146.28/x
  3. Step 3: Cross multiply
    50,805.82x = 70,112.01 × 28,146.28
  4. Step 4: Simplify right side
    50,805.82x = 1,973,392,159.91
  5. Step 5: Solve for x
    x = 1,973,392,159.91/50,805.82
  6. Step 6: Final answer
    x = 38,841.86

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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.