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Finding the Fourth Proportional to 30,148.25, 45,206.57 and 10,422.11

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Solution

The fourth proportional to 30,148.25, 45,206.57 and 10,422.11 is: 15,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,148.25 : 45,206.57 = 10,422.11 : x
  2. Step 2: Convert to fraction form
    30,148.25/45,206.57 = 10,422.11/x
  3. Step 3: Cross multiply
    30,148.25x = 45,206.57 × 10,422.11
  4. Step 4: Simplify right side
    30,148.25x = 471,147,984.33
  5. Step 5: Solve for x
    x = 471,147,984.33/30,148.25
  6. Step 6: Final answer
    x = 15,627.71

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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.