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Finding the Fourth Proportional to 32,746.44, 49,119.66 and 14,014.33

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Solution

The fourth proportional to 32,746.44, 49,119.66 and 14,014.33 is: 21,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,746.44 : 49,119.66 = 14,014.33 : x
  2. Step 2: Convert to fraction form
    32,746.44/49,119.66 = 14,014.33/x
  3. Step 3: Cross multiply
    32,746.44x = 49,119.66 × 14,014.33
  4. Step 4: Simplify right side
    32,746.44x = 688,379,299.87
  5. Step 5: Solve for x
    x = 688,379,299.87/32,746.44
  6. Step 6: Final answer
    x = 21,021.50

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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.