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Finding the Fourth Proportional to 75,855.62, 104,655.78 and 49,013.93

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Solution

The fourth proportional to 75,855.62, 104,655.78 and 49,013.93 is: 67,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855.62 : 104,655.78 = 49,013.93 : x
  2. Step 2: Convert to fraction form
    75,855.62/104,655.78 = 49,013.93/x
  3. Step 3: Cross multiply
    75,855.62x = 104,655.78 × 49,013.93
  4. Step 4: Simplify right side
    75,855.62x = 5,129,591,075.02
  5. Step 5: Solve for x
    x = 5,129,591,075.02/75,855.62
  6. Step 6: Final answer
    x = 67,623.09

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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.