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Finding the Fourth Proportional to 55,272.48, 76,276.08 and 30,122

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Solution

The fourth proportional to 55,272.48, 76,276.08 and 30,122 is: 41,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,272.48 : 76,276.08 = 30,122 : x
  2. Step 2: Convert to fraction form
    55,272.48/76,276.08 = 30,122/x
  3. Step 3: Cross multiply
    55,272.48x = 76,276.08 × 30,122
  4. Step 4: Simplify right side
    55,272.48x = 2,297,588,081.76
  5. Step 5: Solve for x
    x = 2,297,588,081.76/55,272.48
  6. Step 6: Final answer
    x = 41,568.39

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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.