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Finding the Fourth Proportional to 49,793.94, 74,705.49 and 14,734.51

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Solution

The fourth proportional to 49,793.94, 74,705.49 and 14,734.51 is: 22,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,793.94 : 74,705.49 = 14,734.51 : x
  2. Step 2: Convert to fraction form
    49,793.94/74,705.49 = 14,734.51/x
  3. Step 3: Cross multiply
    49,793.94x = 74,705.49 × 14,734.51
  4. Step 4: Simplify right side
    49,793.94x = 1,100,748,602.70
  5. Step 5: Solve for x
    x = 1,100,748,602.70/49,793.94
  6. Step 6: Final answer
    x = 22,106.08

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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.