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Finding the Fourth Proportional to 83,913.68, 115,837.16 and 59,998.80

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Solution

The fourth proportional to 83,913.68, 115,837.16 and 59,998.80 is: 82,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,913.68 : 115,837.16 = 59,998.80 : x
  2. Step 2: Convert to fraction form
    83,913.68/115,837.16 = 59,998.80/x
  3. Step 3: Cross multiply
    83,913.68x = 115,837.16 × 59,998.80
  4. Step 4: Simplify right side
    83,913.68x = 6,950,090,595.41
  5. Step 5: Solve for x
    x = 6,950,090,595.41/83,913.68
  6. Step 6: Final answer
    x = 82,824.29

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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.