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Finding the Fourth Proportional to 33,870.92, 50,809.98 and 10,499.18

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Solution

The fourth proportional to 33,870.92, 50,809.98 and 10,499.18 is: 15,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,870.92 : 50,809.98 = 10,499.18 : x
  2. Step 2: Convert to fraction form
    33,870.92/50,809.98 = 10,499.18/x
  3. Step 3: Cross multiply
    33,870.92x = 50,809.98 × 10,499.18
  4. Step 4: Simplify right side
    33,870.92x = 533,463,125.82
  5. Step 5: Solve for x
    x = 533,463,125.82/33,870.92
  6. Step 6: Final answer
    x = 15,749.89

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