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Finding the Fourth Proportional to 32,172.48, 48,180.48 and 22,284

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Solution

The fourth proportional to 32,172.48, 48,180.48 and 22,284 is: 33,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.48 : 48,180.48 = 22,284 : x
  2. Step 2: Convert to fraction form
    32,172.48/48,180.48 = 22,284/x
  3. Step 3: Cross multiply
    32,172.48x = 48,180.48 × 22,284
  4. Step 4: Simplify right side
    32,172.48x = 1,073,653,816.32
  5. Step 5: Solve for x
    x = 1,073,653,816.32/32,172.48
  6. Step 6: Final answer
    x = 33,371.81

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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.