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Finding the Fourth Proportional to 52,656.27, 72,692.42 and 35,749.95

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Solution

The fourth proportional to 52,656.27, 72,692.42 and 35,749.95 is: 49,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,656.27 : 72,692.42 = 35,749.95 : x
  2. Step 2: Convert to fraction form
    52,656.27/72,692.42 = 35,749.95/x
  3. Step 3: Cross multiply
    52,656.27x = 72,692.42 × 35,749.95
  4. Step 4: Simplify right side
    52,656.27x = 2,598,750,201.63
  5. Step 5: Solve for x
    x = 2,598,750,201.63/52,656.27
  6. Step 6: Final answer
    x = 49,353.10

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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.