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Finding the Fourth Proportional to 69,978.80, 96,567.84 and 38,147

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Solution

The fourth proportional to 69,978.80, 96,567.84 and 38,147 is: 52,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,978.80 : 96,567.84 = 38,147 : x
  2. Step 2: Convert to fraction form
    69,978.80/96,567.84 = 38,147/x
  3. Step 3: Cross multiply
    69,978.80x = 96,567.84 × 38,147
  4. Step 4: Simplify right side
    69,978.80x = 3,683,773,392.48
  5. Step 5: Solve for x
    x = 3,683,773,392.48/69,978.80
  6. Step 6: Final answer
    x = 52,641.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.