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Finding the Fourth Proportional to 51,978.89, 71,730.92 and 28,105.56

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Solution

The fourth proportional to 51,978.89, 71,730.92 and 28,105.56 is: 38,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.89 : 71,730.92 = 28,105.56 : x
  2. Step 2: Convert to fraction form
    51,978.89/71,730.92 = 28,105.56/x
  3. Step 3: Cross multiply
    51,978.89x = 71,730.92 × 28,105.56
  4. Step 4: Simplify right side
    51,978.89x = 2,016,037,746.18
  5. Step 5: Solve for x
    x = 2,016,037,746.18/51,978.89
  6. Step 6: Final answer
    x = 38,785.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.