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Finding the Fourth Proportional to 102,952.35, 142,063.88 and 57,627.39

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Solution

The fourth proportional to 102,952.35, 142,063.88 and 57,627.39 is: 79,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,952.35 : 142,063.88 = 57,627.39 : x
  2. Step 2: Convert to fraction form
    102,952.35/142,063.88 = 57,627.39/x
  3. Step 3: Cross multiply
    102,952.35x = 142,063.88 × 57,627.39
  4. Step 4: Simplify right side
    102,952.35x = 8,186,770,329.54
  5. Step 5: Solve for x
    x = 8,186,770,329.54/102,952.35
  6. Step 6: Final answer
    x = 79,519.99

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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.