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Finding the Fourth Proportional to 43,293.12, 64,948.50 and 16,638

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Solution

The fourth proportional to 43,293.12, 64,948.50 and 16,638 is: 24,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,293.12 : 64,948.50 = 16,638 : x
  2. Step 2: Convert to fraction form
    43,293.12/64,948.50 = 16,638/x
  3. Step 3: Cross multiply
    43,293.12x = 64,948.50 × 16,638
  4. Step 4: Simplify right side
    43,293.12x = 1,080,613,143
  5. Step 5: Solve for x
    x = 1,080,613,143/43,293.12
  6. Step 6: Final answer
    x = 24,960.39

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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.