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Finding the Fourth Proportional to 82,801.96, 114,281.61 and 48,808.43

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Solution

The fourth proportional to 82,801.96, 114,281.61 and 48,808.43 is: 67,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,801.96 : 114,281.61 = 48,808.43 : x
  2. Step 2: Convert to fraction form
    82,801.96/114,281.61 = 48,808.43/x
  3. Step 3: Cross multiply
    82,801.96x = 114,281.61 × 48,808.43
  4. Step 4: Simplify right side
    82,801.96x = 5,577,905,961.97
  5. Step 5: Solve for x
    x = 5,577,905,961.97/82,801.96
  6. Step 6: Final answer
    x = 67,364.42

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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.