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Finding the Fourth Proportional to 32,973.14, 49,459.01 and 8,013.33

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Solution

The fourth proportional to 32,973.14, 49,459.01 and 8,013.33 is: 12,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973.14 : 49,459.01 = 8,013.33 : x
  2. Step 2: Convert to fraction form
    32,973.14/49,459.01 = 8,013.33/x
  3. Step 3: Cross multiply
    32,973.14x = 49,459.01 × 8,013.33
  4. Step 4: Simplify right side
    32,973.14x = 396,331,328.54
  5. Step 5: Solve for x
    x = 396,331,328.54/32,973.14
  6. Step 6: Final answer
    x = 12,019.82

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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.