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Finding the Fourth Proportional to 102,022.60, 152,924.55 and 38,818.30

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Solution

The fourth proportional to 102,022.60, 152,924.55 and 38,818.30 is: 58,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022.60 : 152,924.55 = 38,818.30 : x
  2. Step 2: Convert to fraction form
    102,022.60/152,924.55 = 38,818.30/x
  3. Step 3: Cross multiply
    102,022.60x = 152,924.55 × 38,818.30
  4. Step 4: Simplify right side
    102,022.60x = 5,936,271,059.27
  5. Step 5: Solve for x
    x = 5,936,271,059.27/102,022.60
  6. Step 6: Final answer
    x = 58,185.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.