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Finding the Fourth Proportional to 59,536.85, 82,161.71 and 32,678.87

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Solution

The fourth proportional to 59,536.85, 82,161.71 and 32,678.87 is: 45,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,536.85 : 82,161.71 = 32,678.87 : x
  2. Step 2: Convert to fraction form
    59,536.85/82,161.71 = 32,678.87/x
  3. Step 3: Cross multiply
    59,536.85x = 82,161.71 × 32,678.87
  4. Step 4: Simplify right side
    59,536.85x = 2,684,951,840.07
  5. Step 5: Solve for x
    x = 2,684,951,840.07/59,536.85
  6. Step 6: Final answer
    x = 45,097.31

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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.