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Finding the Fourth Proportional to 32,970.96, 49,455.73 and 8,011.12

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Solution

The fourth proportional to 32,970.96, 49,455.73 and 8,011.12 is: 12,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.96 : 49,455.73 = 8,011.12 : x
  2. Step 2: Convert to fraction form
    32,970.96/49,455.73 = 8,011.12/x
  3. Step 3: Cross multiply
    32,970.96x = 49,455.73 × 8,011.12
  4. Step 4: Simplify right side
    32,970.96x = 396,195,787.72
  5. Step 5: Solve for x
    x = 396,195,787.72/32,970.96
  6. Step 6: Final answer
    x = 12,016.51

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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.