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Finding the Fourth Proportional to 70,232.94, 105,348.33 and 17,642.43

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Solution

The fourth proportional to 70,232.94, 105,348.33 and 17,642.43 is: 26,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,232.94 : 105,348.33 = 17,642.43 : x
  2. Step 2: Convert to fraction form
    70,232.94/105,348.33 = 17,642.43/x
  3. Step 3: Cross multiply
    70,232.94x = 105,348.33 × 17,642.43
  4. Step 4: Simplify right side
    70,232.94x = 1,858,600,537.64
  5. Step 5: Solve for x
    x = 1,858,600,537.64/70,232.94
  6. Step 6: Final answer
    x = 26,463.37

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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.