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Finding the Fourth Proportional to 101,992.53, 152,767.26 and 49,291.50

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Solution

The fourth proportional to 101,992.53, 152,767.26 and 49,291.50 is: 73,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,992.53 : 152,767.26 = 49,291.50 : x
  2. Step 2: Convert to fraction form
    101,992.53/152,767.26 = 49,291.50/x
  3. Step 3: Cross multiply
    101,992.53x = 152,767.26 × 49,291.50
  4. Step 4: Simplify right side
    101,992.53x = 7,530,127,396.29
  5. Step 5: Solve for x
    x = 7,530,127,396.29/101,992.53
  6. Step 6: Final answer
    x = 73,830.19

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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.