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Finding the Fourth Proportional to 59,678.60, 82,354.81 and 32,821.11

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Solution

The fourth proportional to 59,678.60, 82,354.81 and 32,821.11 is: 45,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,678.60 : 82,354.81 = 32,821.11 : x
  2. Step 2: Convert to fraction form
    59,678.60/82,354.81 = 32,821.11/x
  3. Step 3: Cross multiply
    59,678.60x = 82,354.81 × 32,821.11
  4. Step 4: Simplify right side
    59,678.60x = 2,702,976,278.04
  5. Step 5: Solve for x
    x = 2,702,976,278.04/59,678.60
  6. Step 6: Final answer
    x = 45,292.22

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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.