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Finding the Fourth Proportional to 75,002, 103,500.75 and 44,376.68

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Solution

The fourth proportional to 75,002, 103,500.75 and 44,376.68 is: 61,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,002 : 103,500.75 = 44,376.68 : x
  2. Step 2: Convert to fraction form
    75,002/103,500.75 = 44,376.68/x
  3. Step 3: Cross multiply
    75,002x = 103,500.75 × 44,376.68
  4. Step 4: Simplify right side
    75,002x = 4,593,019,662.51
  5. Step 5: Solve for x
    x = 4,593,019,662.51/75,002
  6. Step 6: Final answer
    x = 61,238.63

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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.