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Finding the Fourth Proportional to 30,338.57, 45,497.96 and 10,069.88

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Solution

The fourth proportional to 30,338.57, 45,497.96 and 10,069.88 is: 15,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.57 : 45,497.96 = 10,069.88 : x
  2. Step 2: Convert to fraction form
    30,338.57/45,497.96 = 10,069.88/x
  3. Step 3: Cross multiply
    30,338.57x = 45,497.96 × 10,069.88
  4. Step 4: Simplify right side
    30,338.57x = 458,159,060.84
  5. Step 5: Solve for x
    x = 458,159,060.84/30,338.57
  6. Step 6: Final answer
    x = 15,101.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.