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Finding the Fourth Proportional to 76,394.25, 105,424.20 and 42,401.52

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Solution

The fourth proportional to 76,394.25, 105,424.20 and 42,401.52 is: 58,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,394.25 : 105,424.20 = 42,401.52 : x
  2. Step 2: Convert to fraction form
    76,394.25/105,424.20 = 42,401.52/x
  3. Step 3: Cross multiply
    76,394.25x = 105,424.20 × 42,401.52
  4. Step 4: Simplify right side
    76,394.25x = 4,470,146,324.78
  5. Step 5: Solve for x
    x = 4,470,146,324.78/76,394.25
  6. Step 6: Final answer
    x = 58,514.17

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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.