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Finding the Fourth Proportional to 59,421.82, 82,002.12 and 32,564.08

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Solution

The fourth proportional to 59,421.82, 82,002.12 and 32,564.08 is: 44,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,421.82 : 82,002.12 = 32,564.08 : x
  2. Step 2: Convert to fraction form
    59,421.82/82,002.12 = 32,564.08/x
  3. Step 3: Cross multiply
    59,421.82x = 82,002.12 × 32,564.08
  4. Step 4: Simplify right side
    59,421.82x = 2,670,323,595.85
  5. Step 5: Solve for x
    x = 2,670,323,595.85/59,421.82
  6. Step 6: Final answer
    x = 44,938.44

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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.