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Finding the Fourth Proportional to 30,657.09, 42,308.03 and 17,228.31

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Solution

The fourth proportional to 30,657.09, 42,308.03 and 17,228.31 is: 23,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.09 : 42,308.03 = 17,228.31 : x
  2. Step 2: Convert to fraction form
    30,657.09/42,308.03 = 17,228.31/x
  3. Step 3: Cross multiply
    30,657.09x = 42,308.03 × 17,228.31
  4. Step 4: Simplify right side
    30,657.09x = 728,895,856.33
  5. Step 5: Solve for x
    x = 728,895,856.33/30,657.09
  6. Step 6: Final answer
    x = 23,775.77

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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.