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Finding the Fourth Proportional to 75,012.34, 103,516.77 and 41,478.34

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Solution

The fourth proportional to 75,012.34, 103,516.77 and 41,478.34 is: 57,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,012.34 : 103,516.77 = 41,478.34 : x
  2. Step 2: Convert to fraction form
    75,012.34/103,516.77 = 41,478.34/x
  3. Step 3: Cross multiply
    75,012.34x = 103,516.77 × 41,478.34
  4. Step 4: Simplify right side
    75,012.34x = 4,293,703,781.76
  5. Step 5: Solve for x
    x = 4,293,703,781.76/75,012.34
  6. Step 6: Final answer
    x = 57,239.97

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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.