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Finding the Fourth Proportional to 105,425.87, 145,491.19 and 57,679.23

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Solution

The fourth proportional to 105,425.87, 145,491.19 and 57,679.23 is: 79,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,425.87 : 145,491.19 = 57,679.23 : x
  2. Step 2: Convert to fraction form
    105,425.87/145,491.19 = 57,679.23/x
  3. Step 3: Cross multiply
    105,425.87x = 145,491.19 × 57,679.23
  4. Step 4: Simplify right side
    105,425.87x = 8,391,820,212.38
  5. Step 5: Solve for x
    x = 8,391,820,212.38/105,425.87
  6. Step 6: Final answer
    x = 79,599.25

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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.