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Finding the Fourth Proportional to 32,172.66, 48,249.27 and 19,021.50

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Solution

The fourth proportional to 32,172.66, 48,249.27 and 19,021.50 is: 28,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.66 : 48,249.27 = 19,021.50 : x
  2. Step 2: Convert to fraction form
    32,172.66/48,249.27 = 19,021.50/x
  3. Step 3: Cross multiply
    32,172.66x = 48,249.27 × 19,021.50
  4. Step 4: Simplify right side
    32,172.66x = 917,773,489.31
  5. Step 5: Solve for x
    x = 917,773,489.31/32,172.66
  6. Step 6: Final answer
    x = 28,526.50

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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.