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Finding the Fourth Proportional to 78,193.44, 107,904.33 and 46,343.43

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Solution

The fourth proportional to 78,193.44, 107,904.33 and 46,343.43 is: 63,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.44 : 107,904.33 = 46,343.43 : x
  2. Step 2: Convert to fraction form
    78,193.44/107,904.33 = 46,343.43/x
  3. Step 3: Cross multiply
    78,193.44x = 107,904.33 × 46,343.43
  4. Step 4: Simplify right side
    78,193.44x = 5,000,656,764.05
  5. Step 5: Solve for x
    x = 5,000,656,764.05/78,193.44
  6. Step 6: Final answer
    x = 63,952.38

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Why These Related Problems?

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