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Finding the Fourth Proportional to 36,145.40, 54,217.74 and 9,849.80

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Solution

The fourth proportional to 36,145.40, 54,217.74 and 9,849.80 is: 14,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145.40 : 54,217.74 = 9,849.80 : x
  2. Step 2: Convert to fraction form
    36,145.40/54,217.74 = 9,849.80/x
  3. Step 3: Cross multiply
    36,145.40x = 54,217.74 × 9,849.80
  4. Step 4: Simplify right side
    36,145.40x = 534,033,895.45
  5. Step 5: Solve for x
    x = 534,033,895.45/36,145.40
  6. Step 6: Final answer
    x = 14,774.60

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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.