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Finding the Fourth Proportional to 32,005.20, 44,172.36 and 19,436.40

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Solution

The fourth proportional to 32,005.20, 44,172.36 and 19,436.40 is: 26,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.20 : 44,172.36 = 19,436.40 : x
  2. Step 2: Convert to fraction form
    32,005.20/44,172.36 = 19,436.40/x
  3. Step 3: Cross multiply
    32,005.20x = 44,172.36 × 19,436.40
  4. Step 4: Simplify right side
    32,005.20x = 858,551,657.90
  5. Step 5: Solve for x
    x = 858,551,657.90/32,005.20
  6. Step 6: Final answer
    x = 26,825.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.