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Finding the Fourth Proportional to 59,536.21, 82,161.02 and 32,681.21

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Solution

The fourth proportional to 59,536.21, 82,161.02 and 32,681.21 is: 45,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,536.21 : 82,161.02 = 32,681.21 : x
  2. Step 2: Convert to fraction form
    59,536.21/82,161.02 = 32,681.21/x
  3. Step 3: Cross multiply
    59,536.21x = 82,161.02 × 32,681.21
  4. Step 4: Simplify right side
    59,536.21x = 2,685,121,630.14
  5. Step 5: Solve for x
    x = 2,685,121,630.14/59,536.21
  6. Step 6: Final answer
    x = 45,100.65

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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.