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Finding the Fourth Proportional to 67,112.99, 100,629.07 and 29,653.93

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Solution

The fourth proportional to 67,112.99, 100,629.07 and 29,653.93 is: 44,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,112.99 : 100,629.07 = 29,653.93 : x
  2. Step 2: Convert to fraction form
    67,112.99/100,629.07 = 29,653.93/x
  3. Step 3: Cross multiply
    67,112.99x = 100,629.07 × 29,653.93
  4. Step 4: Simplify right side
    67,112.99x = 2,984,047,397.75
  5. Step 5: Solve for x
    x = 2,984,047,397.75/67,112.99
  6. Step 6: Final answer
    x = 44,463.04

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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.