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Finding the Fourth Proportional to 86,651.28, 129,944 and 34,032

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Solution

The fourth proportional to 86,651.28, 129,944 and 34,032 is: 51,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,651.28 : 129,944 = 34,032 : x
  2. Step 2: Convert to fraction form
    86,651.28/129,944 = 34,032/x
  3. Step 3: Cross multiply
    86,651.28x = 129,944 × 34,032
  4. Step 4: Simplify right side
    86,651.28x = 4,422,254,208
  5. Step 5: Solve for x
    x = 4,422,254,208/86,651.28
  6. Step 6: Final answer
    x = 51,035.07

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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.