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Finding the Fourth Proportional to 73,441.96, 110,212.19 and 47,165.15

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Solution

The fourth proportional to 73,441.96, 110,212.19 and 47,165.15 is: 70,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,441.96 : 110,212.19 = 47,165.15 : x
  2. Step 2: Convert to fraction form
    73,441.96/110,212.19 = 47,165.15/x
  3. Step 3: Cross multiply
    73,441.96x = 110,212.19 × 47,165.15
  4. Step 4: Simplify right side
    73,441.96x = 5,198,174,955.06
  5. Step 5: Solve for x
    x = 5,198,174,955.06/73,441.96
  6. Step 6: Final answer
    x = 70,779.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.