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Finding the Fourth Proportional to 73,770.75, 101,767.19 and 46,534.50

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Solution

The fourth proportional to 73,770.75, 101,767.19 and 46,534.50 is: 64,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,770.75 : 101,767.19 = 46,534.50 : x
  2. Step 2: Convert to fraction form
    73,770.75/101,767.19 = 46,534.50/x
  3. Step 3: Cross multiply
    73,770.75x = 101,767.19 × 46,534.50
  4. Step 4: Simplify right side
    73,770.75x = 4,735,685,070.38
  5. Step 5: Solve for x
    x = 4,735,685,070.38/73,770.75
  6. Step 6: Final answer
    x = 64,194.62

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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.