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Finding the Fourth Proportional to 76,297.14, 105,290.82 and 42,306.30

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Solution

The fourth proportional to 76,297.14, 105,290.82 and 42,306.30 is: 58,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,297.14 : 105,290.82 = 42,306.30 : x
  2. Step 2: Convert to fraction form
    76,297.14/105,290.82 = 42,306.30/x
  3. Step 3: Cross multiply
    76,297.14x = 105,290.82 × 42,306.30
  4. Step 4: Simplify right side
    76,297.14x = 4,454,465,018.17
  5. Step 5: Solve for x
    x = 4,454,465,018.17/76,297.14
  6. Step 6: Final answer
    x = 58,383.12

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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.