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Finding the Fourth Proportional to 75,194, 103,767.74 and 44,980.60

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Solution

The fourth proportional to 75,194, 103,767.74 and 44,980.60 is: 62,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,194 : 103,767.74 = 44,980.60 : x
  2. Step 2: Convert to fraction form
    75,194/103,767.74 = 44,980.60/x
  3. Step 3: Cross multiply
    75,194x = 103,767.74 × 44,980.60
  4. Step 4: Simplify right side
    75,194x = 4,667,535,205.84
  5. Step 5: Solve for x
    x = 4,667,535,205.84/75,194
  6. Step 6: Final answer
    x = 62,073.24

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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.