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Finding the Fourth Proportional to 35,149.08, 52,726.32 and 10,189.47

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Solution

The fourth proportional to 35,149.08, 52,726.32 and 10,189.47 is: 15,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,149.08 : 52,726.32 = 10,189.47 : x
  2. Step 2: Convert to fraction form
    35,149.08/52,726.32 = 10,189.47/x
  3. Step 3: Cross multiply
    35,149.08x = 52,726.32 × 10,189.47
  4. Step 4: Simplify right side
    35,149.08x = 537,253,255.85
  5. Step 5: Solve for x
    x = 537,253,255.85/35,149.08
  6. Step 6: Final answer
    x = 15,284.99

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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.