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Finding the Fourth Proportional to 30,229.90, 45,353.02 and 10,509.54

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Solution

The fourth proportional to 30,229.90, 45,353.02 and 10,509.54 is: 15,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.90 : 45,353.02 = 10,509.54 : x
  2. Step 2: Convert to fraction form
    30,229.90/45,353.02 = 10,509.54/x
  3. Step 3: Cross multiply
    30,229.90x = 45,353.02 × 10,509.54
  4. Step 4: Simplify right side
    30,229.90x = 476,639,377.81
  5. Step 5: Solve for x
    x = 476,639,377.81/30,229.90
  6. Step 6: Final answer
    x = 15,767.15

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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.