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Finding the Fourth Proportional to 98,382.96, 135,767.86 and 55,941.50

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Solution

The fourth proportional to 98,382.96, 135,767.86 and 55,941.50 is: 77,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382.96 : 135,767.86 = 55,941.50 : x
  2. Step 2: Convert to fraction form
    98,382.96/135,767.86 = 55,941.50/x
  3. Step 3: Cross multiply
    98,382.96x = 135,767.86 × 55,941.50
  4. Step 4: Simplify right side
    98,382.96x = 7,595,057,740.19
  5. Step 5: Solve for x
    x = 7,595,057,740.19/98,382.96
  6. Step 6: Final answer
    x = 77,198.91

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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.