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Finding the Fourth Proportional to 76,834, 106,030.92 and 43,301.20

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Solution

The fourth proportional to 76,834, 106,030.92 and 43,301.20 is: 59,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,834 : 106,030.92 = 43,301.20 : x
  2. Step 2: Convert to fraction form
    76,834/106,030.92 = 43,301.20/x
  3. Step 3: Cross multiply
    76,834x = 106,030.92 × 43,301.20
  4. Step 4: Simplify right side
    76,834x = 4,591,266,073.10
  5. Step 5: Solve for x
    x = 4,591,266,073.10/76,834
  6. Step 6: Final answer
    x = 59,755.66

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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.