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Finding the Fourth Proportional to 32,798.70, 49,185.96 and 11,733.03

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Solution

The fourth proportional to 32,798.70, 49,185.96 and 11,733.03 is: 17,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.70 : 49,185.96 = 11,733.03 : x
  2. Step 2: Convert to fraction form
    32,798.70/49,185.96 = 11,733.03/x
  3. Step 3: Cross multiply
    32,798.70x = 49,185.96 × 11,733.03
  4. Step 4: Simplify right side
    32,798.70x = 577,100,344.26
  5. Step 5: Solve for x
    x = 577,100,344.26/32,798.70
  6. Step 6: Final answer
    x = 17,595.22

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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.