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Finding the Fourth Proportional to 83,322.20, 114,865.02 and 59,407.35

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Solution

The fourth proportional to 83,322.20, 114,865.02 and 59,407.35 is: 81,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322.20 : 114,865.02 = 59,407.35 : x
  2. Step 2: Convert to fraction form
    83,322.20/114,865.02 = 59,407.35/x
  3. Step 3: Cross multiply
    83,322.20x = 114,865.02 × 59,407.35
  4. Step 4: Simplify right side
    83,322.20x = 6,823,826,445.90
  5. Step 5: Solve for x
    x = 6,823,826,445.90/83,322.20
  6. Step 6: Final answer
    x = 81,896.86

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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.