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Finding the Fourth Proportional to 59,682.70, 82,364.73 and 32,826.18

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Solution

The fourth proportional to 59,682.70, 82,364.73 and 32,826.18 is: 45,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,682.70 : 82,364.73 = 32,826.18 : x
  2. Step 2: Convert to fraction form
    59,682.70/82,364.73 = 32,826.18/x
  3. Step 3: Cross multiply
    59,682.70x = 82,364.73 × 32,826.18
  4. Step 4: Simplify right side
    59,682.70x = 2,703,719,638.40
  5. Step 5: Solve for x
    x = 2,703,719,638.40/59,682.70
  6. Step 6: Final answer
    x = 45,301.57

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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.