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Finding the Fourth Proportional to 50,102.65, 75,118.38 and 25,124.68

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Solution

The fourth proportional to 50,102.65, 75,118.38 and 25,124.68 is: 37,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102.65 : 75,118.38 = 25,124.68 : x
  2. Step 2: Convert to fraction form
    50,102.65/75,118.38 = 25,124.68/x
  3. Step 3: Cross multiply
    50,102.65x = 75,118.38 × 25,124.68
  4. Step 4: Simplify right side
    50,102.65x = 1,887,325,259.62
  5. Step 5: Solve for x
    x = 1,887,325,259.62/50,102.65
  6. Step 6: Final answer
    x = 37,669.17

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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.