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Finding the Fourth Proportional to 36,686.24, 54,984 and 20,904.50

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Solution

The fourth proportional to 36,686.24, 54,984 and 20,904.50 is: 31,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,686.24 : 54,984 = 20,904.50 : x
  2. Step 2: Convert to fraction form
    36,686.24/54,984 = 20,904.50/x
  3. Step 3: Cross multiply
    36,686.24x = 54,984 × 20,904.50
  4. Step 4: Simplify right side
    36,686.24x = 1,149,413,028
  5. Step 5: Solve for x
    x = 1,149,413,028/36,686.24
  6. Step 6: Final answer
    x = 31,330.90

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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.