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Finding the Fourth Proportional to 75,151.96, 112,724.43 and 30,767.74

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Solution

The fourth proportional to 75,151.96, 112,724.43 and 30,767.74 is: 46,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,151.96 : 112,724.43 = 30,767.74 : x
  2. Step 2: Convert to fraction form
    75,151.96/112,724.43 = 30,767.74/x
  3. Step 3: Cross multiply
    75,151.96x = 112,724.43 × 30,767.74
  4. Step 4: Simplify right side
    75,151.96x = 3,468,275,953.89
  5. Step 5: Solve for x
    x = 3,468,275,953.89/75,151.96
  6. Step 6: Final answer
    x = 46,150.17

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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.