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Finding the Fourth Proportional to 30,229.90, 45,353.01 and 10,509.55

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Solution

The fourth proportional to 30,229.90, 45,353.01 and 10,509.55 is: 15,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.90 : 45,353.01 = 10,509.55 : x
  2. Step 2: Convert to fraction form
    30,229.90/45,353.01 = 10,509.55/x
  3. Step 3: Cross multiply
    30,229.90x = 45,353.01 × 10,509.55
  4. Step 4: Simplify right side
    30,229.90x = 476,639,726.25
  5. Step 5: Solve for x
    x = 476,639,726.25/30,229.90
  6. Step 6: Final answer
    x = 15,767.16

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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.