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Finding the Fourth Proportional to 52,194.56, 78,291.84 and 36,681.44

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Solution

The fourth proportional to 52,194.56, 78,291.84 and 36,681.44 is: 55,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,194.56 : 78,291.84 = 36,681.44 : x
  2. Step 2: Convert to fraction form
    52,194.56/78,291.84 = 36,681.44/x
  3. Step 3: Cross multiply
    52,194.56x = 78,291.84 × 36,681.44
  4. Step 4: Simplify right side
    52,194.56x = 2,871,857,431.45
  5. Step 5: Solve for x
    x = 2,871,857,431.45/52,194.56
  6. Step 6: Final answer
    x = 55,022.16

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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.