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Finding the Fourth Proportional to 52,591.50, 72,576.21 and 31,089.00

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Solution

The fourth proportional to 52,591.50, 72,576.21 and 31,089.00 is: 42,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,591.50 : 72,576.21 = 31,089.00 : x
  2. Step 2: Convert to fraction form
    52,591.50/72,576.21 = 31,089.00/x
  3. Step 3: Cross multiply
    52,591.50x = 72,576.21 × 31,089.00
  4. Step 4: Simplify right side
    52,591.50x = 2,256,321,803.34
  5. Step 5: Solve for x
    x = 2,256,321,803.34/52,591.50
  6. Step 6: Final answer
    x = 42,902.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.