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Finding the Fourth Proportional to 54,002, 74,522.76 and 31,646

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Solution

The fourth proportional to 54,002, 74,522.76 and 31,646 is: 43,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,002 : 74,522.76 = 31,646 : x
  2. Step 2: Convert to fraction form
    54,002/74,522.76 = 31,646/x
  3. Step 3: Cross multiply
    54,002x = 74,522.76 × 31,646
  4. Step 4: Simplify right side
    54,002x = 2,358,347,262.96
  5. Step 5: Solve for x
    x = 2,358,347,262.96/54,002
  6. Step 6: Final answer
    x = 43,671.48

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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.