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Finding the Fourth Proportional to 60,305.60, 83,218.56 and 33,446

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Solution

The fourth proportional to 60,305.60, 83,218.56 and 33,446 is: 46,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,305.60 : 83,218.56 = 33,446 : x
  2. Step 2: Convert to fraction form
    60,305.60/83,218.56 = 33,446/x
  3. Step 3: Cross multiply
    60,305.60x = 83,218.56 × 33,446
  4. Step 4: Simplify right side
    60,305.60x = 2,783,327,957.76
  5. Step 5: Solve for x
    x = 2,783,327,957.76/60,305.60
  6. Step 6: Final answer
    x = 46,153.72

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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.