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Finding the Fourth Proportional to 35,776.98, 53,402.96 and 33,138

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Solution

The fourth proportional to 35,776.98, 53,402.96 and 33,138 is: 49,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776.98 : 53,402.96 = 33,138 : x
  2. Step 2: Convert to fraction form
    35,776.98/53,402.96 = 33,138/x
  3. Step 3: Cross multiply
    35,776.98x = 53,402.96 × 33,138
  4. Step 4: Simplify right side
    35,776.98x = 1,769,667,122.79
  5. Step 5: Solve for x
    x = 1,769,667,122.79/35,776.98
  6. Step 6: Final answer
    x = 49,463.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.