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Finding the Fourth Proportional to 91,054.49, 136,594.49 and 31,876.70

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Solution

The fourth proportional to 91,054.49, 136,594.49 and 31,876.70 is: 47,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,054.49 : 136,594.49 = 31,876.70 : x
  2. Step 2: Convert to fraction form
    91,054.49/136,594.49 = 31,876.70/x
  3. Step 3: Cross multiply
    91,054.49x = 136,594.49 × 31,876.70
  4. Step 4: Simplify right side
    91,054.49x = 4,354,180,737.03
  5. Step 5: Solve for x
    x = 4,354,180,737.03/91,054.49
  6. Step 6: Final answer
    x = 47,819.51

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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.