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Finding the Fourth Proportional to 82,893.96, 114,390.09 and 47,083.86

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Solution

The fourth proportional to 82,893.96, 114,390.09 and 47,083.86 is: 64,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.96 : 114,390.09 = 47,083.86 : x
  2. Step 2: Convert to fraction form
    82,893.96/114,390.09 = 47,083.86/x
  3. Step 3: Cross multiply
    82,893.96x = 114,390.09 × 47,083.86
  4. Step 4: Simplify right side
    82,893.96x = 5,385,926,982.95
  5. Step 5: Solve for x
    x = 5,385,926,982.95/82,893.96
  6. Step 6: Final answer
    x = 64,973.70

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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.