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Finding the Fourth Proportional to 32,881.88, 49,322.86 and 8,257.88

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Solution

The fourth proportional to 32,881.88, 49,322.86 and 8,257.88 is: 12,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881.88 : 49,322.86 = 8,257.88 : x
  2. Step 2: Convert to fraction form
    32,881.88/49,322.86 = 8,257.88/x
  3. Step 3: Cross multiply
    32,881.88x = 49,322.86 × 8,257.88
  4. Step 4: Simplify right side
    32,881.88x = 407,302,259.14
  5. Step 5: Solve for x
    x = 407,302,259.14/32,881.88
  6. Step 6: Final answer
    x = 12,386.83

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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.