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Finding the Fourth Proportional to 32,973.89, 49,460.13 and 8,014.08

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Solution

The fourth proportional to 32,973.89, 49,460.13 and 8,014.08 is: 12,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973.89 : 49,460.13 = 8,014.08 : x
  2. Step 2: Convert to fraction form
    32,973.89/49,460.13 = 8,014.08/x
  3. Step 3: Cross multiply
    32,973.89x = 49,460.13 × 8,014.08
  4. Step 4: Simplify right side
    32,973.89x = 396,377,438.63
  5. Step 5: Solve for x
    x = 396,377,438.63/32,973.89
  6. Step 6: Final answer
    x = 12,020.95

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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.