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Finding the Fourth Proportional to 57,582.47, 86,332.78 and 22,013.80

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Solution

The fourth proportional to 57,582.47, 86,332.78 and 22,013.80 is: 33,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582.47 : 86,332.78 = 22,013.80 : x
  2. Step 2: Convert to fraction form
    57,582.47/86,332.78 = 22,013.80/x
  3. Step 3: Cross multiply
    57,582.47x = 86,332.78 × 22,013.80
  4. Step 4: Simplify right side
    57,582.47x = 1,900,512,010.63
  5. Step 5: Solve for x
    x = 1,900,512,010.63/57,582.47
  6. Step 6: Final answer
    x = 33,005.05

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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.