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Finding the Fourth Proportional to 82,910.53, 114,435 and 52,689.96

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Solution

The fourth proportional to 82,910.53, 114,435 and 52,689.96 is: 72,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,910.53 : 114,435 = 52,689.96 : x
  2. Step 2: Convert to fraction form
    82,910.53/114,435 = 52,689.96/x
  3. Step 3: Cross multiply
    82,910.53x = 114,435 × 52,689.96
  4. Step 4: Simplify right side
    82,910.53x = 6,029,575,572.60
  5. Step 5: Solve for x
    x = 6,029,575,572.60/82,910.53
  6. Step 6: Final answer
    x = 72,723.88

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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.