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Finding the Fourth Proportional to 30,149.29, 45,229.16 and 10,156.87

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Solution

The fourth proportional to 30,149.29, 45,229.16 and 10,156.87 is: 15,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.29 : 45,229.16 = 10,156.87 : x
  2. Step 2: Convert to fraction form
    30,149.29/45,229.16 = 10,156.87/x
  3. Step 3: Cross multiply
    30,149.29x = 45,229.16 × 10,156.87
  4. Step 4: Simplify right side
    30,149.29x = 459,386,698.33
  5. Step 5: Solve for x
    x = 459,386,698.33/30,149.29
  6. Step 6: Final answer
    x = 15,237.07

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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.