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Finding the Fourth Proportional to 42,781.41, 64,168.47 and 13,199.49

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Solution

The fourth proportional to 42,781.41, 64,168.47 and 13,199.49 is: 19,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,781.41 : 64,168.47 = 13,199.49 : x
  2. Step 2: Convert to fraction form
    42,781.41/64,168.47 = 13,199.49/x
  3. Step 3: Cross multiply
    42,781.41x = 64,168.47 × 13,199.49
  4. Step 4: Simplify right side
    42,781.41x = 846,991,078.08
  5. Step 5: Solve for x
    x = 846,991,078.08/42,781.41
  6. Step 6: Final answer
    x = 19,798.11

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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.