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Finding the Fourth Proportional to 36,189.88, 54,285.57 and 9,894.46

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Solution

The fourth proportional to 36,189.88, 54,285.57 and 9,894.46 is: 14,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,189.88 : 54,285.57 = 9,894.46 : x
  2. Step 2: Convert to fraction form
    36,189.88/54,285.57 = 9,894.46/x
  3. Step 3: Cross multiply
    36,189.88x = 54,285.57 × 9,894.46
  4. Step 4: Simplify right side
    36,189.88x = 537,126,080.04
  5. Step 5: Solve for x
    x = 537,126,080.04/36,189.88
  6. Step 6: Final answer
    x = 14,841.89

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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.