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Finding the Fourth Proportional to 63,194.94, 94,802.10 and 23,754.78

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Solution

The fourth proportional to 63,194.94, 94,802.10 and 23,754.78 is: 35,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,194.94 : 94,802.10 = 23,754.78 : x
  2. Step 2: Convert to fraction form
    63,194.94/94,802.10 = 23,754.78/x
  3. Step 3: Cross multiply
    63,194.94x = 94,802.10 × 23,754.78
  4. Step 4: Simplify right side
    63,194.94x = 2,252,003,029.04
  5. Step 5: Solve for x
    x = 2,252,003,029.04/63,194.94
  6. Step 6: Final answer
    x = 35,635.81

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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.