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Finding the Fourth Proportional to 57,122.34, 78,817.62 and 35,889.33

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Solution

The fourth proportional to 57,122.34, 78,817.62 and 35,889.33 is: 49,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,122.34 : 78,817.62 = 35,889.33 : x
  2. Step 2: Convert to fraction form
    57,122.34/78,817.62 = 35,889.33/x
  3. Step 3: Cross multiply
    57,122.34x = 78,817.62 × 35,889.33
  4. Step 4: Simplify right side
    57,122.34x = 2,828,711,573.99
  5. Step 5: Solve for x
    x = 2,828,711,573.99/57,122.34
  6. Step 6: Final answer
    x = 49,520.23

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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.