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Finding the Fourth Proportional to 42,540.96, 63,806.56 and 11,378.64

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Solution

The fourth proportional to 42,540.96, 63,806.56 and 11,378.64 is: 17,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,540.96 : 63,806.56 = 11,378.64 : x
  2. Step 2: Convert to fraction form
    42,540.96/63,806.56 = 11,378.64/x
  3. Step 3: Cross multiply
    42,540.96x = 63,806.56 × 11,378.64
  4. Step 4: Simplify right side
    42,540.96x = 726,031,875.88
  5. Step 5: Solve for x
    x = 726,031,875.88/42,540.96
  6. Step 6: Final answer
    x = 17,066.65

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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.