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Finding the Fourth Proportional to 83,027.68, 114,581.64 and 47,224

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Solution

The fourth proportional to 83,027.68, 114,581.64 and 47,224 is: 65,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027.68 : 114,581.64 = 47,224 : x
  2. Step 2: Convert to fraction form
    83,027.68/114,581.64 = 47,224/x
  3. Step 3: Cross multiply
    83,027.68x = 114,581.64 × 47,224
  4. Step 4: Simplify right side
    83,027.68x = 5,411,003,367.36
  5. Step 5: Solve for x
    x = 5,411,003,367.36/83,027.68
  6. Step 6: Final answer
    x = 65,171.08

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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.