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Finding the Fourth Proportional to 75,773.25, 104,570.34 and 42,239.25

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Solution

The fourth proportional to 75,773.25, 104,570.34 and 42,239.25 is: 58,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,773.25 : 104,570.34 = 42,239.25 : x
  2. Step 2: Convert to fraction form
    75,773.25/104,570.34 = 42,239.25/x
  3. Step 3: Cross multiply
    75,773.25x = 104,570.34 × 42,239.25
  4. Step 4: Simplify right side
    75,773.25x = 4,416,972,733.85
  5. Step 5: Solve for x
    x = 4,416,972,733.85/75,773.25
  6. Step 6: Final answer
    x = 58,291.98

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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.