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Finding the Fourth Proportional to 37,153.50, 55,733.49 and 9,451.50

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Solution

The fourth proportional to 37,153.50, 55,733.49 and 9,451.50 is: 14,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,153.50 : 55,733.49 = 9,451.50 : x
  2. Step 2: Convert to fraction form
    37,153.50/55,733.49 = 9,451.50/x
  3. Step 3: Cross multiply
    37,153.50x = 55,733.49 × 9,451.50
  4. Step 4: Simplify right side
    37,153.50x = 526,765,080.74
  5. Step 5: Solve for x
    x = 526,765,080.74/37,153.50
  6. Step 6: Final answer
    x = 14,178.07

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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.