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Finding the Fourth Proportional to 107,083.84, 160,628.34 and 36,007.40

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Solution

The fourth proportional to 107,083.84, 160,628.34 and 36,007.40 is: 54,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,083.84 : 160,628.34 = 36,007.40 : x
  2. Step 2: Convert to fraction form
    107,083.84/160,628.34 = 36,007.40/x
  3. Step 3: Cross multiply
    107,083.84x = 160,628.34 × 36,007.40
  4. Step 4: Simplify right side
    107,083.84x = 5,783,808,889.72
  5. Step 5: Solve for x
    x = 5,783,808,889.72/107,083.84
  6. Step 6: Final answer
    x = 54,011.97

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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.