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Finding the Fourth Proportional to 43,293.32, 64,949.82 and 13,713

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Solution

The fourth proportional to 43,293.32, 64,949.82 and 13,713 is: 20,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,293.32 : 64,949.82 = 13,713 : x
  2. Step 2: Convert to fraction form
    43,293.32/64,949.82 = 13,713/x
  3. Step 3: Cross multiply
    43,293.32x = 64,949.82 × 13,713
  4. Step 4: Simplify right side
    43,293.32x = 890,656,881.66
  5. Step 5: Solve for x
    x = 890,656,881.66/43,293.32
  6. Step 6: Final answer
    x = 20,572.62

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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.