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Finding the Fourth Proportional to 105,696.52, 145,861.15 and 57,948.85

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Solution

The fourth proportional to 105,696.52, 145,861.15 and 57,948.85 is: 79,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696.52 : 145,861.15 = 57,948.85 : x
  2. Step 2: Convert to fraction form
    105,696.52/145,861.15 = 57,948.85/x
  3. Step 3: Cross multiply
    105,696.52x = 145,861.15 × 57,948.85
  4. Step 4: Simplify right side
    105,696.52x = 8,452,485,902.18
  5. Step 5: Solve for x
    x = 8,452,485,902.18/105,696.52
  6. Step 6: Final answer
    x = 79,969.39

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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.