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Finding the Fourth Proportional to 37,242.77, 55,865.85 and 12,285

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Solution

The fourth proportional to 37,242.77, 55,865.85 and 12,285 is: 18,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,242.77 : 55,865.85 = 12,285 : x
  2. Step 2: Convert to fraction form
    37,242.77/55,865.85 = 12,285/x
  3. Step 3: Cross multiply
    37,242.77x = 55,865.85 × 12,285
  4. Step 4: Simplify right side
    37,242.77x = 686,311,967.25
  5. Step 5: Solve for x
    x = 686,311,967.25/37,242.77
  6. Step 6: Final answer
    x = 18,428.06

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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.