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Finding the Fourth Proportional to 37,118.50, 55,680.99 and 9,416.50

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Solution

The fourth proportional to 37,118.50, 55,680.99 and 9,416.50 is: 14,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,118.50 : 55,680.99 = 9,416.50 : x
  2. Step 2: Convert to fraction form
    37,118.50/55,680.99 = 9,416.50/x
  3. Step 3: Cross multiply
    37,118.50x = 55,680.99 × 9,416.50
  4. Step 4: Simplify right side
    37,118.50x = 524,320,042.34
  5. Step 5: Solve for x
    x = 524,320,042.34/37,118.50
  6. Step 6: Final answer
    x = 14,125.57

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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.