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Finding the Fourth Proportional to 36,159, 54,232.38 and 9,857.58

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Solution

The fourth proportional to 36,159, 54,232.38 and 9,857.58 is: 14,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,159 : 54,232.38 = 9,857.58 : x
  2. Step 2: Convert to fraction form
    36,159/54,232.38 = 9,857.58/x
  3. Step 3: Cross multiply
    36,159x = 54,232.38 × 9,857.58
  4. Step 4: Simplify right side
    36,159x = 534,600,024.44
  5. Step 5: Solve for x
    x = 534,600,024.44/36,159
  6. Step 6: Final answer
    x = 14,784.70

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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.