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Finding the Fourth Proportional to 36,397.49, 54,596.23 and 10,102.25

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Solution

The fourth proportional to 36,397.49, 54,596.23 and 10,102.25 is: 15,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,397.49 : 54,596.23 = 10,102.25 : x
  2. Step 2: Convert to fraction form
    36,397.49/54,596.23 = 10,102.25/x
  3. Step 3: Cross multiply
    36,397.49x = 54,596.23 × 10,102.25
  4. Step 4: Simplify right side
    36,397.49x = 551,544,875.75
  5. Step 5: Solve for x
    x = 551,544,875.75/36,397.49
  6. Step 6: Final answer
    x = 15,153.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.