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Finding the Fourth Proportional to 33,870.42, 50,809.23 and 10,498.68

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Solution

The fourth proportional to 33,870.42, 50,809.23 and 10,498.68 is: 15,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,870.42 : 50,809.23 = 10,498.68 : x
  2. Step 2: Convert to fraction form
    33,870.42/50,809.23 = 10,498.68/x
  3. Step 3: Cross multiply
    33,870.42x = 50,809.23 × 10,498.68
  4. Step 4: Simplify right side
    33,870.42x = 533,429,846.82
  5. Step 5: Solve for x
    x = 533,429,846.82/33,870.42
  6. Step 6: Final answer
    x = 15,749.14

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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.