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Finding the Fourth Proportional to 75,768, 104,560.32 and 42,234.24

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Solution

The fourth proportional to 75,768, 104,560.32 and 42,234.24 is: 58,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768 : 104,560.32 = 42,234.24 : x
  2. Step 2: Convert to fraction form
    75,768/104,560.32 = 42,234.24/x
  3. Step 3: Cross multiply
    75,768x = 104,560.32 × 42,234.24
  4. Step 4: Simplify right side
    75,768x = 4,416,025,649.36
  5. Step 5: Solve for x
    x = 4,416,025,649.36/75,768
  6. Step 6: Final answer
    x = 58,283.52

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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.