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Finding the Fourth Proportional to 59,673.17, 82,349.58 and 32,815.86

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Solution

The fourth proportional to 59,673.17, 82,349.58 and 32,815.86 is: 45,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,673.17 : 82,349.58 = 32,815.86 : x
  2. Step 2: Convert to fraction form
    59,673.17/82,349.58 = 32,815.86/x
  3. Step 3: Cross multiply
    59,673.17x = 82,349.58 × 32,815.86
  4. Step 4: Simplify right side
    59,673.17x = 2,702,372,288.34
  5. Step 5: Solve for x
    x = 2,702,372,288.34/59,673.17
  6. Step 6: Final answer
    x = 45,286.22

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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.