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Finding the Fourth Proportional to 35,691.94, 53,540.54 and 9,396.50

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Solution

The fourth proportional to 35,691.94, 53,540.54 and 9,396.50 is: 14,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,691.94 : 53,540.54 = 9,396.50 : x
  2. Step 2: Convert to fraction form
    35,691.94/53,540.54 = 9,396.50/x
  3. Step 3: Cross multiply
    35,691.94x = 53,540.54 × 9,396.50
  4. Step 4: Simplify right side
    35,691.94x = 503,093,637.13
  5. Step 5: Solve for x
    x = 503,093,637.13/35,691.94
  6. Step 6: Final answer
    x = 14,095.44

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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.