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Finding the Fourth Proportional to 32,651.74, 48,999.52 and 20,973.16

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Solution

The fourth proportional to 32,651.74, 48,999.52 and 20,973.16 is: 31,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,651.74 : 48,999.52 = 20,973.16 : x
  2. Step 2: Convert to fraction form
    32,651.74/48,999.52 = 20,973.16/x
  3. Step 3: Cross multiply
    32,651.74x = 48,999.52 × 20,973.16
  4. Step 4: Simplify right side
    32,651.74x = 1,027,674,772.88
  5. Step 5: Solve for x
    x = 1,027,674,772.88/32,651.74
  6. Step 6: Final answer
    x = 31,473.81

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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.