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Finding the Fourth Proportional to 57,582.71, 86,354.77 and 22,035.77

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Solution

The fourth proportional to 57,582.71, 86,354.77 and 22,035.77 is: 33,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582.71 : 86,354.77 = 22,035.77 : x
  2. Step 2: Convert to fraction form
    57,582.71/86,354.77 = 22,035.77/x
  3. Step 3: Cross multiply
    57,582.71x = 86,354.77 × 22,035.77
  4. Step 4: Simplify right side
    57,582.71x = 1,902,893,850.12
  5. Step 5: Solve for x
    x = 1,902,893,850.12/57,582.71
  6. Step 6: Final answer
    x = 33,046.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.