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Finding the Fourth Proportional to 59,472.99, 82,065.16 and 33,981

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Solution

The fourth proportional to 59,472.99, 82,065.16 and 33,981 is: 46,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,472.99 : 82,065.16 = 33,981 : x
  2. Step 2: Convert to fraction form
    59,472.99/82,065.16 = 33,981/x
  3. Step 3: Cross multiply
    59,472.99x = 82,065.16 × 33,981
  4. Step 4: Simplify right side
    59,472.99x = 2,788,656,201.96
  5. Step 5: Solve for x
    x = 2,788,656,201.96/59,472.99
  6. Step 6: Final answer
    x = 46,889.46

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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.