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Finding the Fourth Proportional to 32,973.69, 49,459.86 and 8,013.87

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Solution

The fourth proportional to 32,973.69, 49,459.86 and 8,013.87 is: 12,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973.69 : 49,459.86 = 8,013.87 : x
  2. Step 2: Convert to fraction form
    32,973.69/49,459.86 = 8,013.87/x
  3. Step 3: Cross multiply
    32,973.69x = 49,459.86 × 8,013.87
  4. Step 4: Simplify right side
    32,973.69x = 396,364,888.26
  5. Step 5: Solve for x
    x = 396,364,888.26/32,973.69
  6. Step 6: Final answer
    x = 12,020.64

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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.