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Finding the Fourth Proportional to 38,902.68, 53,688.42 and 22,135.68

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Solution

The fourth proportional to 38,902.68, 53,688.42 and 22,135.68 is: 30,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902.68 : 53,688.42 = 22,135.68 : x
  2. Step 2: Convert to fraction form
    38,902.68/53,688.42 = 22,135.68/x
  3. Step 3: Cross multiply
    38,902.68x = 53,688.42 × 22,135.68
  4. Step 4: Simplify right side
    38,902.68x = 1,188,429,684.83
  5. Step 5: Solve for x
    x = 1,188,429,684.83/38,902.68
  6. Step 6: Final answer
    x = 30,548.79

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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.