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Finding the Fourth Proportional to 37,902.88, 56,856.24 and 10,201.12

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Solution

The fourth proportional to 37,902.88, 56,856.24 and 10,201.12 is: 15,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,902.88 : 56,856.24 = 10,201.12 : x
  2. Step 2: Convert to fraction form
    37,902.88/56,856.24 = 10,201.12/x
  3. Step 3: Cross multiply
    37,902.88x = 56,856.24 × 10,201.12
  4. Step 4: Simplify right side
    37,902.88x = 579,997,326.99
  5. Step 5: Solve for x
    x = 579,997,326.99/37,902.88
  6. Step 6: Final answer
    x = 15,302.20

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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.