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Finding the Fourth Proportional to 47,407.98, 65,414.44 and 30,631.26

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Solution

The fourth proportional to 47,407.98, 65,414.44 and 30,631.26 is: 42,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407.98 : 65,414.44 = 30,631.26 : x
  2. Step 2: Convert to fraction form
    47,407.98/65,414.44 = 30,631.26/x
  3. Step 3: Cross multiply
    47,407.98x = 65,414.44 × 30,631.26
  4. Step 4: Simplify right side
    47,407.98x = 2,003,726,719.39
  5. Step 5: Solve for x
    x = 2,003,726,719.39/47,407.98
  6. Step 6: Final answer
    x = 42,265.60

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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.