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Finding the Fourth Proportional to 32,649.74, 48,996.52 and 20,971.16

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Solution

The fourth proportional to 32,649.74, 48,996.52 and 20,971.16 is: 31,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,649.74 : 48,996.52 = 20,971.16 : x
  2. Step 2: Convert to fraction form
    32,649.74/48,996.52 = 20,971.16/x
  3. Step 3: Cross multiply
    32,649.74x = 48,996.52 × 20,971.16
  4. Step 4: Simplify right side
    32,649.74x = 1,027,513,860.36
  5. Step 5: Solve for x
    x = 1,027,513,860.36/32,649.74
  6. Step 6: Final answer
    x = 31,470.81

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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.