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Finding the Fourth Proportional to 102,796.61, 154,193.29 and 32,674.91

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Solution

The fourth proportional to 102,796.61, 154,193.29 and 32,674.91 is: 49,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,796.61 : 154,193.29 = 32,674.91 : x
  2. Step 2: Convert to fraction form
    102,796.61/154,193.29 = 32,674.91/x
  3. Step 3: Cross multiply
    102,796.61x = 154,193.29 × 32,674.91
  4. Step 4: Simplify right side
    102,796.61x = 5,038,251,020.70
  5. Step 5: Solve for x
    x = 5,038,251,020.70/102,796.61
  6. Step 6: Final answer
    x = 49,011.84

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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.