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Finding the Fourth Proportional to 75,016, 112,525.08 and 19,612

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Solution

The fourth proportional to 75,016, 112,525.08 and 19,612 is: 29,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,016 : 112,525.08 = 19,612 : x
  2. Step 2: Convert to fraction form
    75,016/112,525.08 = 19,612/x
  3. Step 3: Cross multiply
    75,016x = 112,525.08 × 19,612
  4. Step 4: Simplify right side
    75,016x = 2,206,841,868.96
  5. Step 5: Solve for x
    x = 2,206,841,868.96/75,016
  6. Step 6: Final answer
    x = 29,418.28

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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.