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Finding the Fourth Proportional to 60,242, 83,132 and 36,364.52

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Solution

The fourth proportional to 60,242, 83,132 and 36,364.52 is: 50,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,242 : 83,132 = 36,364.52 : x
  2. Step 2: Convert to fraction form
    60,242/83,132 = 36,364.52/x
  3. Step 3: Cross multiply
    60,242x = 83,132 × 36,364.52
  4. Step 4: Simplify right side
    60,242x = 3,023,055,276.64
  5. Step 5: Solve for x
    x = 3,023,055,276.64/60,242
  6. Step 6: Final answer
    x = 50,181.85

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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.