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Finding the Fourth Proportional to 36,713.84, 55,070.82 and 9,011.84

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Solution

The fourth proportional to 36,713.84, 55,070.82 and 9,011.84 is: 13,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,713.84 : 55,070.82 = 9,011.84 : x
  2. Step 2: Convert to fraction form
    36,713.84/55,070.82 = 9,011.84/x
  3. Step 3: Cross multiply
    36,713.84x = 55,070.82 × 9,011.84
  4. Step 4: Simplify right side
    36,713.84x = 496,289,373.45
  5. Step 5: Solve for x
    x = 496,289,373.45/36,713.84
  6. Step 6: Final answer
    x = 13,517.77

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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.