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Finding the Fourth Proportional to 30,209, 41,688.42 and 17,631.32

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Solution

The fourth proportional to 30,209, 41,688.42 and 17,631.32 is: 24,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209 : 41,688.42 = 17,631.32 : x
  2. Step 2: Convert to fraction form
    30,209/41,688.42 = 17,631.32/x
  3. Step 3: Cross multiply
    30,209x = 41,688.42 × 17,631.32
  4. Step 4: Simplify right side
    30,209x = 735,021,873.31
  5. Step 5: Solve for x
    x = 735,021,873.31/30,209
  6. Step 6: Final answer
    x = 24,331.22

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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.