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Finding the Fourth Proportional to 42,696.40, 64,006.20 and 27,912.40

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Solution

The fourth proportional to 42,696.40, 64,006.20 and 27,912.40 is: 41,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,696.40 : 64,006.20 = 27,912.40 : x
  2. Step 2: Convert to fraction form
    42,696.40/64,006.20 = 27,912.40/x
  3. Step 3: Cross multiply
    42,696.40x = 64,006.20 × 27,912.40
  4. Step 4: Simplify right side
    42,696.40x = 1,786,566,656.88
  5. Step 5: Solve for x
    x = 1,786,566,656.88/42,696.40
  6. Step 6: Final answer
    x = 41,843.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.