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Finding the Fourth Proportional to 33,776.42, 50,663.41 and 10,402.25

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Solution

The fourth proportional to 33,776.42, 50,663.41 and 10,402.25 is: 15,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,776.42 : 50,663.41 = 10,402.25 : x
  2. Step 2: Convert to fraction form
    33,776.42/50,663.41 = 10,402.25/x
  3. Step 3: Cross multiply
    33,776.42x = 50,663.41 × 10,402.25
  4. Step 4: Simplify right side
    33,776.42x = 527,013,456.67
  5. Step 5: Solve for x
    x = 527,013,456.67/33,776.42
  6. Step 6: Final answer
    x = 15,603.00

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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.