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Finding the Fourth Proportional to 52,340.52, 78,536.74 and 20,749.90

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Solution

The fourth proportional to 52,340.52, 78,536.74 and 20,749.90 is: 31,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,340.52 : 78,536.74 = 20,749.90 : x
  2. Step 2: Convert to fraction form
    52,340.52/78,536.74 = 20,749.90/x
  3. Step 3: Cross multiply
    52,340.52x = 78,536.74 × 20,749.90
  4. Step 4: Simplify right side
    52,340.52x = 1,629,629,501.33
  5. Step 5: Solve for x
    x = 1,629,629,501.33/52,340.52
  6. Step 6: Final answer
    x = 31,135.14

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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.