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Finding the Fourth Proportional to 59,446.10, 82,035.24 and 32,590.28

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Solution

The fourth proportional to 59,446.10, 82,035.24 and 32,590.28 is: 44,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,446.10 : 82,035.24 = 32,590.28 : x
  2. Step 2: Convert to fraction form
    59,446.10/82,035.24 = 32,590.28/x
  3. Step 3: Cross multiply
    59,446.10x = 82,035.24 × 32,590.28
  4. Step 4: Simplify right side
    59,446.10x = 2,673,551,441.47
  5. Step 5: Solve for x
    x = 2,673,551,441.47/59,446.10
  6. Step 6: Final answer
    x = 44,974.38

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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.