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Finding the Fourth Proportional to 32,991.78, 49,486.96 and 8,031.96

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Solution

The fourth proportional to 32,991.78, 49,486.96 and 8,031.96 is: 12,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.78 : 49,486.96 = 8,031.96 : x
  2. Step 2: Convert to fraction form
    32,991.78/49,486.96 = 8,031.96/x
  3. Step 3: Cross multiply
    32,991.78x = 49,486.96 × 8,031.96
  4. Step 4: Simplify right side
    32,991.78x = 397,477,283.24
  5. Step 5: Solve for x
    x = 397,477,283.24/32,991.78
  6. Step 6: Final answer
    x = 12,047.77

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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.