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Finding the Fourth Proportional to 75,927, 104,785.74 and 42,399.48

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Solution

The fourth proportional to 75,927, 104,785.74 and 42,399.48 is: 58,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,927 : 104,785.74 = 42,399.48 : x
  2. Step 2: Convert to fraction form
    75,927/104,785.74 = 42,399.48/x
  3. Step 3: Cross multiply
    75,927x = 104,785.74 × 42,399.48
  4. Step 4: Simplify right side
    75,927x = 4,442,860,887.42
  5. Step 5: Solve for x
    x = 4,442,860,887.42/75,927
  6. Step 6: Final answer
    x = 58,514.90

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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.