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Finding the Fourth Proportional to 42,778.50, 64,194.48 and 20,594.22

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Solution

The fourth proportional to 42,778.50, 64,194.48 and 20,594.22 is: 30,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778.50 : 64,194.48 = 20,594.22 : x
  2. Step 2: Convert to fraction form
    42,778.50/64,194.48 = 20,594.22/x
  3. Step 3: Cross multiply
    42,778.50x = 64,194.48 × 20,594.22
  4. Step 4: Simplify right side
    42,778.50x = 1,322,035,243.91
  5. Step 5: Solve for x
    x = 1,322,035,243.91/42,778.50
  6. Step 6: Final answer
    x = 30,904.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.