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Finding the Fourth Proportional to 56,160.72, 84,168.20 and 22,842

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Solution

The fourth proportional to 56,160.72, 84,168.20 and 22,842 is: 34,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,160.72 : 84,168.20 = 22,842 : x
  2. Step 2: Convert to fraction form
    56,160.72/84,168.20 = 22,842/x
  3. Step 3: Cross multiply
    56,160.72x = 84,168.20 × 22,842
  4. Step 4: Simplify right side
    56,160.72x = 1,922,570,024.40
  5. Step 5: Solve for x
    x = 1,922,570,024.40/56,160.72
  6. Step 6: Final answer
    x = 34,233.36

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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.