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Finding the Fourth Proportional to 102,395.74, 153,662.80 and 35,836.44

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Solution

The fourth proportional to 102,395.74, 153,662.80 and 35,836.44 is: 53,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395.74 : 153,662.80 = 35,836.44 : x
  2. Step 2: Convert to fraction form
    102,395.74/153,662.80 = 35,836.44/x
  3. Step 3: Cross multiply
    102,395.74x = 153,662.80 × 35,836.44
  4. Step 4: Simplify right side
    102,395.74x = 5,506,727,712.43
  5. Step 5: Solve for x
    x = 5,506,727,712.43/102,395.74
  6. Step 6: Final answer
    x = 53,778.88

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Why These Related Problems?

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