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Finding the Fourth Proportional to 35,616.94, 53,410.80 and 15,882

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Solution

The fourth proportional to 35,616.94, 53,410.80 and 15,882 is: 23,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,616.94 : 53,410.80 = 15,882 : x
  2. Step 2: Convert to fraction form
    35,616.94/53,410.80 = 15,882/x
  3. Step 3: Cross multiply
    35,616.94x = 53,410.80 × 15,882
  4. Step 4: Simplify right side
    35,616.94x = 848,270,325.60
  5. Step 5: Solve for x
    x = 848,270,325.60/35,616.94
  6. Step 6: Final answer
    x = 23,816.49

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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.