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Finding the Fourth Proportional to 35,016, 52,496.16 and 17,476.32

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Solution

The fourth proportional to 35,016, 52,496.16 and 17,476.32 is: 26,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,016 : 52,496.16 = 17,476.32 : x
  2. Step 2: Convert to fraction form
    35,016/52,496.16 = 17,476.32/x
  3. Step 3: Cross multiply
    35,016x = 52,496.16 × 17,476.32
  4. Step 4: Simplify right side
    35,016x = 917,439,690.93
  5. Step 5: Solve for x
    x = 917,439,690.93/35,016
  6. Step 6: Final answer
    x = 26,200.59

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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.