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Finding the Fourth Proportional to 74,248, 111,369.84 and 27,499.84

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Solution

The fourth proportional to 74,248, 111,369.84 and 27,499.84 is: 41,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,248 : 111,369.84 = 27,499.84 : x
  2. Step 2: Convert to fraction form
    74,248/111,369.84 = 27,499.84/x
  3. Step 3: Cross multiply
    74,248x = 111,369.84 × 27,499.84
  4. Step 4: Simplify right side
    74,248x = 3,062,652,780.83
  5. Step 5: Solve for x
    x = 3,062,652,780.83/74,248
  6. Step 6: Final answer
    x = 41,248.96

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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.