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Finding the Fourth Proportional to 75,856.77, 104,682.33 and 42,322.77

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Solution

The fourth proportional to 75,856.77, 104,682.33 and 42,322.77 is: 58,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,856.77 : 104,682.33 = 42,322.77 : x
  2. Step 2: Convert to fraction form
    75,856.77/104,682.33 = 42,322.77/x
  3. Step 3: Cross multiply
    75,856.77x = 104,682.33 × 42,322.77
  4. Step 4: Simplify right side
    75,856.77x = 4,430,446,175.65
  5. Step 5: Solve for x
    x = 4,430,446,175.65/75,856.77
  6. Step 6: Final answer
    x = 58,405.42

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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.