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Finding the Fourth Proportional to 70,166.78, 96,797.67 and 40,341.50

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Solution

The fourth proportional to 70,166.78, 96,797.67 and 40,341.50 is: 55,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,166.78 : 96,797.67 = 40,341.50 : x
  2. Step 2: Convert to fraction form
    70,166.78/96,797.67 = 40,341.50/x
  3. Step 3: Cross multiply
    70,166.78x = 96,797.67 × 40,341.50
  4. Step 4: Simplify right side
    70,166.78x = 3,904,963,204.31
  5. Step 5: Solve for x
    x = 3,904,963,204.31/70,166.78
  6. Step 6: Final answer
    x = 55,652.59

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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.