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Finding the Fourth Proportional to 30,229.81, 45,352.91 and 10,509.90

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Solution

The fourth proportional to 30,229.81, 45,352.91 and 10,509.90 is: 15,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.81 : 45,352.91 = 10,509.90 : x
  2. Step 2: Convert to fraction form
    30,229.81/45,352.91 = 10,509.90/x
  3. Step 3: Cross multiply
    30,229.81x = 45,352.91 × 10,509.90
  4. Step 4: Simplify right side
    30,229.81x = 476,654,660.12
  5. Step 5: Solve for x
    x = 476,654,660.12/30,229.81
  6. Step 6: Final answer
    x = 15,767.70

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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.