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Finding the Fourth Proportional to 55,117, 76,062 and 29,967.04

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Solution

The fourth proportional to 55,117, 76,062 and 29,967.04 is: 41,354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,117 : 76,062 = 29,967.04 : x
  2. Step 2: Convert to fraction form
    55,117/76,062 = 29,967.04/x
  3. Step 3: Cross multiply
    55,117x = 76,062 × 29,967.04
  4. Step 4: Simplify right side
    55,117x = 2,279,352,996.48
  5. Step 5: Solve for x
    x = 2,279,352,996.48/55,117
  6. Step 6: Final answer
    x = 41,354.81

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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.