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Finding the Fourth Proportional to 35,185.61, 52,781.88 and 10,225.88

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Solution

The fourth proportional to 35,185.61, 52,781.88 and 10,225.88 is: 15,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,185.61 : 52,781.88 = 10,225.88 : x
  2. Step 2: Convert to fraction form
    35,185.61/52,781.88 = 10,225.88/x
  3. Step 3: Cross multiply
    35,185.61x = 52,781.88 × 10,225.88
  4. Step 4: Simplify right side
    35,185.61x = 539,741,143.42
  5. Step 5: Solve for x
    x = 539,741,143.42/35,185.61
  6. Step 6: Final answer
    x = 15,339.83

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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.