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Finding the Fourth Proportional to 57,913.68, 86,871.36 and 22,853

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Solution

The fourth proportional to 57,913.68, 86,871.36 and 22,853 is: 34,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,913.68 : 86,871.36 = 22,853 : x
  2. Step 2: Convert to fraction form
    57,913.68/86,871.36 = 22,853/x
  3. Step 3: Cross multiply
    57,913.68x = 86,871.36 × 22,853
  4. Step 4: Simplify right side
    57,913.68x = 1,985,271,190.08
  5. Step 5: Solve for x
    x = 1,985,271,190.08/57,913.68
  6. Step 6: Final answer
    x = 34,279.83

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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.