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Finding the Fourth Proportional to 98,295.84, 135,659.52 and 54,692.72

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Solution

The fourth proportional to 98,295.84, 135,659.52 and 54,692.72 is: 75,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,295.84 : 135,659.52 = 54,692.72 : x
  2. Step 2: Convert to fraction form
    98,295.84/135,659.52 = 54,692.72/x
  3. Step 3: Cross multiply
    98,295.84x = 135,659.52 × 54,692.72
  4. Step 4: Simplify right side
    98,295.84x = 7,419,588,142.69
  5. Step 5: Solve for x
    x = 7,419,588,142.69/98,295.84
  6. Step 6: Final answer
    x = 75,482.22

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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.