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Finding the Fourth Proportional to 102,841.83, 154,285.83 and 36,282.51

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Solution

The fourth proportional to 102,841.83, 154,285.83 and 36,282.51 is: 54,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,841.83 : 154,285.83 = 36,282.51 : x
  2. Step 2: Convert to fraction form
    102,841.83/154,285.83 = 36,282.51/x
  3. Step 3: Cross multiply
    102,841.83x = 154,285.83 × 36,282.51
  4. Step 4: Simplify right side
    102,841.83x = 5,597,877,169.83
  5. Step 5: Solve for x
    x = 5,597,877,169.83/102,841.83
  6. Step 6: Final answer
    x = 54,431.91

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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.