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Finding the Fourth Proportional to 49,793.32, 74,703.84 and 21,715.84

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Solution

The fourth proportional to 49,793.32, 74,703.84 and 21,715.84 is: 32,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,793.32 : 74,703.84 = 21,715.84 : x
  2. Step 2: Convert to fraction form
    49,793.32/74,703.84 = 21,715.84/x
  3. Step 3: Cross multiply
    49,793.32x = 74,703.84 × 21,715.84
  4. Step 4: Simplify right side
    49,793.32x = 1,622,256,636.83
  5. Step 5: Solve for x
    x = 1,622,256,636.83/49,793.32
  6. Step 6: Final answer
    x = 32,579.80

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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.