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Finding the Fourth Proportional to 75,176, 103,746.30 and 41,642

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Solution

The fourth proportional to 75,176, 103,746.30 and 41,642 is: 57,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176 : 103,746.30 = 41,642 : x
  2. Step 2: Convert to fraction form
    75,176/103,746.30 = 41,642/x
  3. Step 3: Cross multiply
    75,176x = 103,746.30 × 41,642
  4. Step 4: Simplify right side
    75,176x = 4,320,203,424.60
  5. Step 5: Solve for x
    x = 4,320,203,424.60/75,176
  6. Step 6: Final answer
    x = 57,467.85

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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.