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Finding the Fourth Proportional to 102,836, 154,266.24 and 36,262.32

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Solution

The fourth proportional to 102,836, 154,266.24 and 36,262.32 is: 54,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,836 : 154,266.24 = 36,262.32 : x
  2. Step 2: Convert to fraction form
    102,836/154,266.24 = 36,262.32/x
  3. Step 3: Cross multiply
    102,836x = 154,266.24 × 36,262.32
  4. Step 4: Simplify right side
    102,836x = 5,594,051,760.08
  5. Step 5: Solve for x
    x = 5,594,051,760.08/102,836
  6. Step 6: Final answer
    x = 54,397.80

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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.