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Finding the Fourth Proportional to 94,831, 142,246.50 and 28,317.84

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Solution

The fourth proportional to 94,831, 142,246.50 and 28,317.84 is: 42,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,831 : 142,246.50 = 28,317.84 : x
  2. Step 2: Convert to fraction form
    94,831/142,246.50 = 28,317.84/x
  3. Step 3: Cross multiply
    94,831x = 142,246.50 × 28,317.84
  4. Step 4: Simplify right side
    94,831x = 4,028,113,627.56
  5. Step 5: Solve for x
    x = 4,028,113,627.56/94,831
  6. Step 6: Final answer
    x = 42,476.76

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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.