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Finding the Fourth Proportional to 30,906.18, 42,647.70 and 17,478.60

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Solution

The fourth proportional to 30,906.18, 42,647.70 and 17,478.60 is: 24,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.18 : 42,647.70 = 17,478.60 : x
  2. Step 2: Convert to fraction form
    30,906.18/42,647.70 = 17,478.60/x
  3. Step 3: Cross multiply
    30,906.18x = 42,647.70 × 17,478.60
  4. Step 4: Simplify right side
    30,906.18x = 745,422,089.22
  5. Step 5: Solve for x
    x = 745,422,089.22/30,906.18
  6. Step 6: Final answer
    x = 24,118.87

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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.