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Finding the Fourth Proportional to 102,996.72, 154,510.68 and 36,437.60

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Solution

The fourth proportional to 102,996.72, 154,510.68 and 36,437.60 is: 54,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,996.72 : 154,510.68 = 36,437.60 : x
  2. Step 2: Convert to fraction form
    102,996.72/154,510.68 = 36,437.60/x
  3. Step 3: Cross multiply
    102,996.72x = 154,510.68 × 36,437.60
  4. Step 4: Simplify right side
    102,996.72x = 5,629,998,353.57
  5. Step 5: Solve for x
    x = 5,629,998,353.57/102,996.72
  6. Step 6: Final answer
    x = 54,661.92

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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.