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Finding the Fourth Proportional to 83,321.48, 114,864.03 and 59,406.63

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Solution

The fourth proportional to 83,321.48, 114,864.03 and 59,406.63 is: 81,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,321.48 : 114,864.03 = 59,406.63 : x
  2. Step 2: Convert to fraction form
    83,321.48/114,864.03 = 59,406.63/x
  3. Step 3: Cross multiply
    83,321.48x = 114,864.03 × 59,406.63
  4. Step 4: Simplify right side
    83,321.48x = 6,823,684,633.49
  5. Step 5: Solve for x
    x = 6,823,684,633.49/83,321.48
  6. Step 6: Final answer
    x = 81,895.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.