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Finding the Fourth Proportional to 72,160, 108,241.62 and 24,775

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Solution

The fourth proportional to 72,160, 108,241.62 and 24,775 is: 37,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,160 : 108,241.62 = 24,775 : x
  2. Step 2: Convert to fraction form
    72,160/108,241.62 = 24,775/x
  3. Step 3: Cross multiply
    72,160x = 108,241.62 × 24,775
  4. Step 4: Simplify right side
    72,160x = 2,681,686,135.50
  5. Step 5: Solve for x
    x = 2,681,686,135.50/72,160
  6. Step 6: Final answer
    x = 37,163.06

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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.