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Finding the Fourth Proportional to 52,742.82, 79,058.61 and 36,098.40

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Solution

The fourth proportional to 52,742.82, 79,058.61 and 36,098.40 is: 54,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,742.82 : 79,058.61 = 36,098.40 : x
  2. Step 2: Convert to fraction form
    52,742.82/79,058.61 = 36,098.40/x
  3. Step 3: Cross multiply
    52,742.82x = 79,058.61 × 36,098.40
  4. Step 4: Simplify right side
    52,742.82x = 2,853,889,327.22
  5. Step 5: Solve for x
    x = 2,853,889,327.22/52,742.82
  6. Step 6: Final answer
    x = 54,109.53

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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.