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Finding the Fourth Proportional to 83,090.57, 124,652.28 and 30,500.51

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Solution

The fourth proportional to 83,090.57, 124,652.28 and 30,500.51 is: 45,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090.57 : 124,652.28 = 30,500.51 : x
  2. Step 2: Convert to fraction form
    83,090.57/124,652.28 = 30,500.51/x
  3. Step 3: Cross multiply
    83,090.57x = 124,652.28 × 30,500.51
  4. Step 4: Simplify right side
    83,090.57x = 3,801,957,489.40
  5. Step 5: Solve for x
    x = 3,801,957,489.40/83,090.57
  6. Step 6: Final answer
    x = 45,756.79

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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.