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Finding the Fourth Proportional to 101,902.24, 152,794.50 and 39,499.84

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Solution

The fourth proportional to 101,902.24, 152,794.50 and 39,499.84 is: 59,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,902.24 : 152,794.50 = 39,499.84 : x
  2. Step 2: Convert to fraction form
    101,902.24/152,794.50 = 39,499.84/x
  3. Step 3: Cross multiply
    101,902.24x = 152,794.50 × 39,499.84
  4. Step 4: Simplify right side
    101,902.24x = 6,035,358,302.88
  5. Step 5: Solve for x
    x = 6,035,358,302.88/101,902.24
  6. Step 6: Final answer
    x = 59,226.94

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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.