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Finding the Fourth Proportional to 114,548.20, 171,781.10 and 39,648

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Solution

The fourth proportional to 114,548.20, 171,781.10 and 39,648 is: 59,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,548.20 : 171,781.10 = 39,648 : x
  2. Step 2: Convert to fraction form
    114,548.20/171,781.10 = 39,648/x
  3. Step 3: Cross multiply
    114,548.20x = 171,781.10 × 39,648
  4. Step 4: Simplify right side
    114,548.20x = 6,810,777,052.80
  5. Step 5: Solve for x
    x = 6,810,777,052.80/114,548.20
  6. Step 6: Final answer
    x = 59,457.74

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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.