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Finding the Fourth Proportional to 81,614.40, 122,421.60 and 56,731.20

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Solution

The fourth proportional to 81,614.40, 122,421.60 and 56,731.20 is: 85,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,614.40 : 122,421.60 = 56,731.20 : x
  2. Step 2: Convert to fraction form
    81,614.40/122,421.60 = 56,731.20/x
  3. Step 3: Cross multiply
    81,614.40x = 122,421.60 × 56,731.20
  4. Step 4: Simplify right side
    81,614.40x = 6,945,124,273.92
  5. Step 5: Solve for x
    x = 6,945,124,273.92/81,614.40
  6. Step 6: Final answer
    x = 85,096.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.