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Finding the Fourth Proportional to 67,386.56, 100,997.84 and 47,670.80

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Solution

The fourth proportional to 67,386.56, 100,997.84 and 47,670.80 is: 71,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,386.56 : 100,997.84 = 47,670.80 : x
  2. Step 2: Convert to fraction form
    67,386.56/100,997.84 = 47,670.80/x
  3. Step 3: Cross multiply
    67,386.56x = 100,997.84 × 47,670.80
  4. Step 4: Simplify right side
    67,386.56x = 4,814,647,831.07
  5. Step 5: Solve for x
    x = 4,814,647,831.07/67,386.56
  6. Step 6: Final answer
    x = 71,448.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.