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Finding the Fourth Proportional to 63,567.44, 95,355.84 and 16,820

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Solution

The fourth proportional to 63,567.44, 95,355.84 and 16,820 is: 25,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,567.44 : 95,355.84 = 16,820 : x
  2. Step 2: Convert to fraction form
    63,567.44/95,355.84 = 16,820/x
  3. Step 3: Cross multiply
    63,567.44x = 95,355.84 × 16,820
  4. Step 4: Simplify right side
    63,567.44x = 1,603,885,228.80
  5. Step 5: Solve for x
    x = 1,603,885,228.80/63,567.44
  6. Step 6: Final answer
    x = 25,231.24

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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.