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Finding the Fourth Proportional to 84,651.66, 116,800.37 and 48,839.40

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Solution

The fourth proportional to 84,651.66, 116,800.37 and 48,839.40 is: 67,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,651.66 : 116,800.37 = 48,839.40 : x
  2. Step 2: Convert to fraction form
    84,651.66/116,800.37 = 48,839.40/x
  3. Step 3: Cross multiply
    84,651.66x = 116,800.37 × 48,839.40
  4. Step 4: Simplify right side
    84,651.66x = 5,704,459,990.58
  5. Step 5: Solve for x
    x = 5,704,459,990.58/84,651.66
  6. Step 6: Final answer
    x = 67,387.46

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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.