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Finding the Fourth Proportional to 76,309.39, 105,306.43 and 42,317.84

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Solution

The fourth proportional to 76,309.39, 105,306.43 and 42,317.84 is: 58,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,309.39 : 105,306.43 = 42,317.84 : x
  2. Step 2: Convert to fraction form
    76,309.39/105,306.43 = 42,317.84/x
  3. Step 3: Cross multiply
    76,309.39x = 105,306.43 × 42,317.84
  4. Step 4: Simplify right side
    76,309.39x = 4,456,340,892.53
  5. Step 5: Solve for x
    x = 4,456,340,892.53/76,309.39
  6. Step 6: Final answer
    x = 58,398.33

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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.