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Finding the Fourth Proportional to 35,109.25, 52,656.08 and 10,143.83

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Solution

The fourth proportional to 35,109.25, 52,656.08 and 10,143.83 is: 15,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,109.25 : 52,656.08 = 10,143.83 : x
  2. Step 2: Convert to fraction form
    35,109.25/52,656.08 = 10,143.83/x
  3. Step 3: Cross multiply
    35,109.25x = 52,656.08 × 10,143.83
  4. Step 4: Simplify right side
    35,109.25x = 534,134,404.91
  5. Step 5: Solve for x
    x = 534,134,404.91/35,109.25
  6. Step 6: Final answer
    x = 15,213.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.