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Finding the Fourth Proportional to 75,181.95, 103,746.69 and 41,183.69

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Solution

The fourth proportional to 75,181.95, 103,746.69 and 41,183.69 is: 56,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,181.95 : 103,746.69 = 41,183.69 : x
  2. Step 2: Convert to fraction form
    75,181.95/103,746.69 = 41,183.69/x
  3. Step 3: Cross multiply
    75,181.95x = 103,746.69 × 41,183.69
  4. Step 4: Simplify right side
    75,181.95x = 4,272,671,000.75
  5. Step 5: Solve for x
    x = 4,272,671,000.75/75,181.95
  6. Step 6: Final answer
    x = 56,831.07

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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.