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Finding the Fourth Proportional to 42,407.64, 63,514.58 and 20,236.59

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Solution

The fourth proportional to 42,407.64, 63,514.58 and 20,236.59 is: 30,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407.64 : 63,514.58 = 20,236.59 : x
  2. Step 2: Convert to fraction form
    42,407.64/63,514.58 = 20,236.59/x
  3. Step 3: Cross multiply
    42,407.64x = 63,514.58 × 20,236.59
  4. Step 4: Simplify right side
    42,407.64x = 1,285,318,095.73
  5. Step 5: Solve for x
    x = 1,285,318,095.73/42,407.64
  6. Step 6: Final answer
    x = 30,308.64

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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.