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Finding the Fourth Proportional to 42,771.68, 64,166.06 and 13,188.39

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Solution

The fourth proportional to 42,771.68, 64,166.06 and 13,188.39 is: 19,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771.68 : 64,166.06 = 13,188.39 : x
  2. Step 2: Convert to fraction form
    42,771.68/64,166.06 = 13,188.39/x
  3. Step 3: Cross multiply
    42,771.68x = 64,166.06 × 13,188.39
  4. Step 4: Simplify right side
    42,771.68x = 846,247,057.01
  5. Step 5: Solve for x
    x = 846,247,057.01/42,771.68
  6. Step 6: Final answer
    x = 19,785.22

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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.