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Finding the Fourth Proportional to 107,647.73, 161,482.61 and 41,143.84

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Solution

The fourth proportional to 107,647.73, 161,482.61 and 41,143.84 is: 61,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,647.73 : 161,482.61 = 41,143.84 : x
  2. Step 2: Convert to fraction form
    107,647.73/161,482.61 = 41,143.84/x
  3. Step 3: Cross multiply
    107,647.73x = 161,482.61 × 41,143.84
  4. Step 4: Simplify right side
    107,647.73x = 6,644,013,655.49
  5. Step 5: Solve for x
    x = 6,644,013,655.49/107,647.73
  6. Step 6: Final answer
    x = 61,719.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.