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Finding the Fourth Proportional to 83,776, 115,611.12 and 47,966.56

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Solution

The fourth proportional to 83,776, 115,611.12 and 47,966.56 is: 66,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,776 : 115,611.12 = 47,966.56 : x
  2. Step 2: Convert to fraction form
    83,776/115,611.12 = 47,966.56/x
  3. Step 3: Cross multiply
    83,776x = 115,611.12 × 47,966.56
  4. Step 4: Simplify right side
    83,776x = 5,545,467,724.15
  5. Step 5: Solve for x
    x = 5,545,467,724.15/83,776
  6. Step 6: Final answer
    x = 66,193.99

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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.