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Finding the Fourth Proportional to 35,616, 53,424.02 and 13,434.36

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Solution

The fourth proportional to 35,616, 53,424.02 and 13,434.36 is: 20,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,616 : 53,424.02 = 13,434.36 : x
  2. Step 2: Convert to fraction form
    35,616/53,424.02 = 13,434.36/x
  3. Step 3: Cross multiply
    35,616x = 53,424.02 × 13,434.36
  4. Step 4: Simplify right side
    35,616x = 717,717,517.33
  5. Step 5: Solve for x
    x = 717,717,517.33/35,616
  6. Step 6: Final answer
    x = 20,151.55

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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.