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Finding the Fourth Proportional to 75,900.52, 104,741.22 and 42,365.80

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Solution

The fourth proportional to 75,900.52, 104,741.22 and 42,365.80 is: 58,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,900.52 : 104,741.22 = 42,365.80 : x
  2. Step 2: Convert to fraction form
    75,900.52/104,741.22 = 42,365.80/x
  3. Step 3: Cross multiply
    75,900.52x = 104,741.22 × 42,365.80
  4. Step 4: Simplify right side
    75,900.52x = 4,437,445,578.28
  5. Step 5: Solve for x
    x = 4,437,445,578.28/75,900.52
  6. Step 6: Final answer
    x = 58,463.97

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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.