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Finding the Fourth Proportional to 42,680.78, 64,019.54 and 11,516.84

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Solution

The fourth proportional to 42,680.78, 64,019.54 and 11,516.84 is: 17,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,680.78 : 64,019.54 = 11,516.84 : x
  2. Step 2: Convert to fraction form
    42,680.78/64,019.54 = 11,516.84/x
  3. Step 3: Cross multiply
    42,680.78x = 64,019.54 × 11,516.84
  4. Step 4: Simplify right side
    42,680.78x = 737,302,799.05
  5. Step 5: Solve for x
    x = 737,302,799.05/42,680.78
  6. Step 6: Final answer
    x = 17,274.82

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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.