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Finding the Fourth Proportional to 52,498.43, 78,669.86 and 43,204.49

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Solution

The fourth proportional to 52,498.43, 78,669.86 and 43,204.49 is: 64,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498.43 : 78,669.86 = 43,204.49 : x
  2. Step 2: Convert to fraction form
    52,498.43/78,669.86 = 43,204.49/x
  3. Step 3: Cross multiply
    52,498.43x = 78,669.86 × 43,204.49
  4. Step 4: Simplify right side
    52,498.43x = 3,398,890,963.65
  5. Step 5: Solve for x
    x = 3,398,890,963.65/52,498.43
  6. Step 6: Final answer
    x = 64,742.72

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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.