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Finding the Fourth Proportional to 92,539, 127,704.48 and 50,097.64

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Solution

The fourth proportional to 92,539, 127,704.48 and 50,097.64 is: 69,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,539 : 127,704.48 = 50,097.64 : x
  2. Step 2: Convert to fraction form
    92,539/127,704.48 = 50,097.64/x
  3. Step 3: Cross multiply
    92,539x = 127,704.48 × 50,097.64
  4. Step 4: Simplify right side
    92,539x = 6,397,693,065.43
  5. Step 5: Solve for x
    x = 6,397,693,065.43/92,539
  6. Step 6: Final answer
    x = 69,135.10

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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.