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Finding the Fourth Proportional to 69,649.38, 96,124.64 and 40,967.68

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Solution

The fourth proportional to 69,649.38, 96,124.64 and 40,967.68 is: 56,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,649.38 : 96,124.64 = 40,967.68 : x
  2. Step 2: Convert to fraction form
    69,649.38/96,124.64 = 40,967.68/x
  3. Step 3: Cross multiply
    69,649.38x = 96,124.64 × 40,967.68
  4. Step 4: Simplify right side
    69,649.38x = 3,938,003,491.64
  5. Step 5: Solve for x
    x = 3,938,003,491.64/69,649.38
  6. Step 6: Final answer
    x = 56,540.40

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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.