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Finding the Fourth Proportional to 63,584, 95,393.01 and 22,031

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Solution

The fourth proportional to 63,584, 95,393.01 and 22,031 is: 33,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,584 : 95,393.01 = 22,031 : x
  2. Step 2: Convert to fraction form
    63,584/95,393.01 = 22,031/x
  3. Step 3: Cross multiply
    63,584x = 95,393.01 × 22,031
  4. Step 4: Simplify right side
    63,584x = 2,101,603,403.31
  5. Step 5: Solve for x
    x = 2,101,603,403.31/63,584
  6. Step 6: Final answer
    x = 33,052.39

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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.