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Finding the Fourth Proportional to 59,677.57, 82,357.14 and 32,822.14

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Solution

The fourth proportional to 59,677.57, 82,357.14 and 32,822.14 is: 45,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,677.57 : 82,357.14 = 32,822.14 : x
  2. Step 2: Convert to fraction form
    59,677.57/82,357.14 = 32,822.14/x
  3. Step 3: Cross multiply
    59,677.57x = 82,357.14 × 32,822.14
  4. Step 4: Simplify right side
    59,677.57x = 2,703,137,579.08
  5. Step 5: Solve for x
    x = 2,703,137,579.08/59,677.57
  6. Step 6: Final answer
    x = 45,295.70

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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.