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Finding the Fourth Proportional to 52,794.46, 72,828.74 and 32,644.90

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Solution

The fourth proportional to 52,794.46, 72,828.74 and 32,644.90 is: 45,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,794.46 : 72,828.74 = 32,644.90 : x
  2. Step 2: Convert to fraction form
    52,794.46/72,828.74 = 32,644.90/x
  3. Step 3: Cross multiply
    52,794.46x = 72,828.74 × 32,644.90
  4. Step 4: Simplify right side
    52,794.46x = 2,377,486,934.43
  5. Step 5: Solve for x
    x = 2,377,486,934.43/52,794.46
  6. Step 6: Final answer
    x = 45,032.89

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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.