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Finding the Fourth Proportional to 45,532, 68,308.16 and 13,946.48

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Solution

The fourth proportional to 45,532, 68,308.16 and 13,946.48 is: 20,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,532 : 68,308.16 = 13,946.48 : x
  2. Step 2: Convert to fraction form
    45,532/68,308.16 = 13,946.48/x
  3. Step 3: Cross multiply
    45,532x = 68,308.16 × 13,946.48
  4. Step 4: Simplify right side
    45,532x = 952,658,387.28
  5. Step 5: Solve for x
    x = 952,658,387.28/45,532
  6. Step 6: Final answer
    x = 20,922.83

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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.