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Finding the Fourth Proportional to 60,031.74, 82,839.68 and 33,174

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Solution

The fourth proportional to 60,031.74, 82,839.68 and 33,174 is: 45,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,031.74 : 82,839.68 = 33,174 : x
  2. Step 2: Convert to fraction form
    60,031.74/82,839.68 = 33,174/x
  3. Step 3: Cross multiply
    60,031.74x = 82,839.68 × 33,174
  4. Step 4: Simplify right side
    60,031.74x = 2,748,123,544.32
  5. Step 5: Solve for x
    x = 2,748,123,544.32/60,031.74
  6. Step 6: Final answer
    x = 45,777.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.