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Finding the Fourth Proportional to 32,614.32, 45,035.34 and 20,698.80

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Solution

The fourth proportional to 32,614.32, 45,035.34 and 20,698.80 is: 28,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614.32 : 45,035.34 = 20,698.80 : x
  2. Step 2: Convert to fraction form
    32,614.32/45,035.34 = 20,698.80/x
  3. Step 3: Cross multiply
    32,614.32x = 45,035.34 × 20,698.80
  4. Step 4: Simplify right side
    32,614.32x = 932,177,495.59
  5. Step 5: Solve for x
    x = 932,177,495.59/32,614.32
  6. Step 6: Final answer
    x = 28,581.85

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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.