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Finding the Fourth Proportional to 42,824.34, 64,236.42 and 11,659.50

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Solution

The fourth proportional to 42,824.34, 64,236.42 and 11,659.50 is: 17,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,824.34 : 64,236.42 = 11,659.50 : x
  2. Step 2: Convert to fraction form
    42,824.34/64,236.42 = 11,659.50/x
  3. Step 3: Cross multiply
    42,824.34x = 64,236.42 × 11,659.50
  4. Step 4: Simplify right side
    42,824.34x = 748,964,538.99
  5. Step 5: Solve for x
    x = 748,964,538.99/42,824.34
  6. Step 6: Final answer
    x = 17,489.23

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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.