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Finding the Fourth Proportional to 72,968.85, 100,695.65 and 41,137.74

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Solution

The fourth proportional to 72,968.85, 100,695.65 and 41,137.74 is: 56,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,968.85 : 100,695.65 = 41,137.74 : x
  2. Step 2: Convert to fraction form
    72,968.85/100,695.65 = 41,137.74/x
  3. Step 3: Cross multiply
    72,968.85x = 100,695.65 × 41,137.74
  4. Step 4: Simplify right side
    72,968.85x = 4,142,391,263.14
  5. Step 5: Solve for x
    x = 4,142,391,263.14/72,968.85
  6. Step 6: Final answer
    x = 56,769.31

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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.