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Finding the Fourth Proportional to 32,785.86, 45,231.54 and 20,188.74

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Solution

The fourth proportional to 32,785.86, 45,231.54 and 20,188.74 is: 27,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,785.86 : 45,231.54 = 20,188.74 : x
  2. Step 2: Convert to fraction form
    32,785.86/45,231.54 = 20,188.74/x
  3. Step 3: Cross multiply
    32,785.86x = 45,231.54 × 20,188.74
  4. Step 4: Simplify right side
    32,785.86x = 913,167,800.86
  5. Step 5: Solve for x
    x = 913,167,800.86/32,785.86
  6. Step 6: Final answer
    x = 27,852.49

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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.