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Finding the Fourth Proportional to 45,683.92, 63,063.20 and 27,784.64

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Solution

The fourth proportional to 45,683.92, 63,063.20 and 27,784.64 is: 38,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,683.92 : 63,063.20 = 27,784.64 : x
  2. Step 2: Convert to fraction form
    45,683.92/63,063.20 = 27,784.64/x
  3. Step 3: Cross multiply
    45,683.92x = 63,063.20 × 27,784.64
  4. Step 4: Simplify right side
    45,683.92x = 1,752,188,309.25
  5. Step 5: Solve for x
    x = 1,752,188,309.25/45,683.92
  6. Step 6: Final answer
    x = 38,354.60

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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.