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Finding the Fourth Proportional to 75,762.87, 113,619.57 and 25,148.31

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Solution

The fourth proportional to 75,762.87, 113,619.57 and 25,148.31 is: 37,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762.87 : 113,619.57 = 25,148.31 : x
  2. Step 2: Convert to fraction form
    75,762.87/113,619.57 = 25,148.31/x
  3. Step 3: Cross multiply
    75,762.87x = 113,619.57 × 25,148.31
  4. Step 4: Simplify right side
    75,762.87x = 2,857,340,168.43
  5. Step 5: Solve for x
    x = 2,857,340,168.43/75,762.87
  6. Step 6: Final answer
    x = 37,714.25

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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.