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Finding the Fourth Proportional to 35,125.44, 52,696.80 and 24,757.44

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Solution

The fourth proportional to 35,125.44, 52,696.80 and 24,757.44 is: 37,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,125.44 : 52,696.80 = 24,757.44 : x
  2. Step 2: Convert to fraction form
    35,125.44/52,696.80 = 24,757.44/x
  3. Step 3: Cross multiply
    35,125.44x = 52,696.80 × 24,757.44
  4. Step 4: Simplify right side
    35,125.44x = 1,304,637,864.19
  5. Step 5: Solve for x
    x = 1,304,637,864.19/35,125.44
  6. Step 6: Final answer
    x = 37,142.25

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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.