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Finding the Fourth Proportional to 36,397, 54,537 and 30,565

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Solution

The fourth proportional to 36,397, 54,537 and 30,565 is: 45,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,397 : 54,537 = 30,565 : x
  2. Step 2: Convert to fraction form
    36,397/54,537 = 30,565/x
  3. Step 3: Cross multiply
    36,397x = 54,537 × 30,565
  4. Step 4: Simplify right side
    36,397x = 1,666,923,405
  5. Step 5: Solve for x
    x = 1,666,923,405/36,397
  6. Step 6: Final answer
    x = 45,798.37

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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.