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Finding the Fourth Proportional to 59,671.76, 82,347.17 and 32,815.94

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Solution

The fourth proportional to 59,671.76, 82,347.17 and 32,815.94 is: 45,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,671.76 : 82,347.17 = 32,815.94 : x
  2. Step 2: Convert to fraction form
    59,671.76/82,347.17 = 32,815.94/x
  3. Step 3: Cross multiply
    59,671.76x = 82,347.17 × 32,815.94
  4. Step 4: Simplify right side
    59,671.76x = 2,702,299,214.07
  5. Step 5: Solve for x
    x = 2,702,299,214.07/59,671.76
  6. Step 6: Final answer
    x = 45,286.07

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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.