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Finding the Fourth Proportional to 48,162.83, 66,478.06 and 28,023.60

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Solution

The fourth proportional to 48,162.83, 66,478.06 and 28,023.60 is: 38,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,162.83 : 66,478.06 = 28,023.60 : x
  2. Step 2: Convert to fraction form
    48,162.83/66,478.06 = 28,023.60/x
  3. Step 3: Cross multiply
    48,162.83x = 66,478.06 × 28,023.60
  4. Step 4: Simplify right side
    48,162.83x = 1,862,954,562.22
  5. Step 5: Solve for x
    x = 1,862,954,562.22/48,162.83
  6. Step 6: Final answer
    x = 38,680.34

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Why These Related Problems?

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