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Finding the Fourth Proportional to 34,138.60, 51,159.90 and 27,130.60

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Solution

The fourth proportional to 34,138.60, 51,159.90 and 27,130.60 is: 40,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.60 : 51,159.90 = 27,130.60 : x
  2. Step 2: Convert to fraction form
    34,138.60/51,159.90 = 27,130.60/x
  3. Step 3: Cross multiply
    34,138.60x = 51,159.90 × 27,130.60
  4. Step 4: Simplify right side
    34,138.60x = 1,387,998,782.94
  5. Step 5: Solve for x
    x = 1,387,998,782.94/34,138.60
  6. Step 6: Final answer
    x = 40,657.75

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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.