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Finding the Fourth Proportional to 55,319.38, 76,346.67 and 33,821.74

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Solution

The fourth proportional to 55,319.38, 76,346.67 and 33,821.74 is: 46,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,319.38 : 76,346.67 = 33,821.74 : x
  2. Step 2: Convert to fraction form
    55,319.38/76,346.67 = 33,821.74/x
  3. Step 3: Cross multiply
    55,319.38x = 76,346.67 × 33,821.74
  4. Step 4: Simplify right side
    55,319.38x = 2,582,177,222.61
  5. Step 5: Solve for x
    x = 2,582,177,222.61/55,319.38
  6. Step 6: Final answer
    x = 46,677.62

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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.