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Finding the Fourth Proportional to 57,820.40, 86,730.60 and 35,658.80

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Solution

The fourth proportional to 57,820.40, 86,730.60 and 35,658.80 is: 53,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,820.40 : 86,730.60 = 35,658.80 : x
  2. Step 2: Convert to fraction form
    57,820.40/86,730.60 = 35,658.80/x
  3. Step 3: Cross multiply
    57,820.40x = 86,730.60 × 35,658.80
  4. Step 4: Simplify right side
    57,820.40x = 3,092,709,119.28
  5. Step 5: Solve for x
    x = 3,092,709,119.28/57,820.40
  6. Step 6: Final answer
    x = 53,488.20

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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.