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Finding the Fourth Proportional to 33,302.76, 49,973.84 and 12,257.58

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Solution

The fourth proportional to 33,302.76, 49,973.84 and 12,257.58 is: 18,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302.76 : 49,973.84 = 12,257.58 : x
  2. Step 2: Convert to fraction form
    33,302.76/49,973.84 = 12,257.58/x
  3. Step 3: Cross multiply
    33,302.76x = 49,973.84 × 12,257.58
  4. Step 4: Simplify right side
    33,302.76x = 612,558,341.71
  5. Step 5: Solve for x
    x = 612,558,341.71/33,302.76
  6. Step 6: Final answer
    x = 18,393.62

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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.