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Finding the Fourth Proportional to 105,344.49, 145,375.38 and 57,597.83

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Solution

The fourth proportional to 105,344.49, 145,375.38 and 57,597.83 is: 79,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,344.49 : 145,375.38 = 57,597.83 : x
  2. Step 2: Convert to fraction form
    105,344.49/145,375.38 = 57,597.83/x
  3. Step 3: Cross multiply
    105,344.49x = 145,375.38 × 57,597.83
  4. Step 4: Simplify right side
    105,344.49x = 8,373,305,696.55
  5. Step 5: Solve for x
    x = 8,373,305,696.55/105,344.49
  6. Step 6: Final answer
    x = 79,484.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.