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Finding the Fourth Proportional to 83,321.82, 114,864.50 and 59,406.98

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Solution

The fourth proportional to 83,321.82, 114,864.50 and 59,406.98 is: 81,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,321.82 : 114,864.50 = 59,406.98 : x
  2. Step 2: Convert to fraction form
    83,321.82/114,864.50 = 59,406.98/x
  3. Step 3: Cross multiply
    83,321.82x = 114,864.50 × 59,406.98
  4. Step 4: Simplify right side
    83,321.82x = 6,823,752,628.40
  5. Step 5: Solve for x
    x = 6,823,752,628.40/83,321.82
  6. Step 6: Final answer
    x = 81,896.35

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1.5x scale

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.