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Finding the Fourth Proportional to 31,777.60, 47,666.40 and 20,142.40

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Solution

The fourth proportional to 31,777.60, 47,666.40 and 20,142.40 is: 30,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.60 : 47,666.40 = 20,142.40 : x
  2. Step 2: Convert to fraction form
    31,777.60/47,666.40 = 20,142.40/x
  3. Step 3: Cross multiply
    31,777.60x = 47,666.40 × 20,142.40
  4. Step 4: Simplify right side
    31,777.60x = 960,115,695.36
  5. Step 5: Solve for x
    x = 960,115,695.36/31,777.60
  6. Step 6: Final answer
    x = 30,213.60

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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.