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Finding the Fourth Proportional to 37,876.16, 56,820.72 and 22,285.28

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Solution

The fourth proportional to 37,876.16, 56,820.72 and 22,285.28 is: 33,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,876.16 : 56,820.72 = 22,285.28 : x
  2. Step 2: Convert to fraction form
    37,876.16/56,820.72 = 22,285.28/x
  3. Step 3: Cross multiply
    37,876.16x = 56,820.72 × 22,285.28
  4. Step 4: Simplify right side
    37,876.16x = 1,266,265,655.00
  5. Step 5: Solve for x
    x = 1,266,265,655.00/37,876.16
  6. Step 6: Final answer
    x = 33,431.73

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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.