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Finding the Fourth Proportional to 50,894.61, 70,234.74 and 28,234.05

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Solution

The fourth proportional to 50,894.61, 70,234.74 and 28,234.05 is: 38,963.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,894.61 : 70,234.74 = 28,234.05 : x
  2. Step 2: Convert to fraction form
    50,894.61/70,234.74 = 28,234.05/x
  3. Step 3: Cross multiply
    50,894.61x = 70,234.74 × 28,234.05
  4. Step 4: Simplify right side
    50,894.61x = 1,983,011,160.90
  5. Step 5: Solve for x
    x = 1,983,011,160.90/50,894.61
  6. Step 6: Final answer
    x = 38,963.09

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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.