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Finding the Fourth Proportional to 73,746.68, 101,770.38 and 40,212.68

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Solution

The fourth proportional to 73,746.68, 101,770.38 and 40,212.68 is: 55,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,746.68 : 101,770.38 = 40,212.68 : x
  2. Step 2: Convert to fraction form
    73,746.68/101,770.38 = 40,212.68/x
  3. Step 3: Cross multiply
    73,746.68x = 101,770.38 × 40,212.68
  4. Step 4: Simplify right side
    73,746.68x = 4,092,459,215.57
  5. Step 5: Solve for x
    x = 4,092,459,215.57/73,746.68
  6. Step 6: Final answer
    x = 55,493.47

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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.