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Finding the Fourth Proportional to 32,577.08, 44,993.20 and 21,948.24

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Solution

The fourth proportional to 32,577.08, 44,993.20 and 21,948.24 is: 30,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.08 : 44,993.20 = 21,948.24 : x
  2. Step 2: Convert to fraction form
    32,577.08/44,993.20 = 21,948.24/x
  3. Step 3: Cross multiply
    32,577.08x = 44,993.20 × 21,948.24
  4. Step 4: Simplify right side
    32,577.08x = 987,521,551.97
  5. Step 5: Solve for x
    x = 987,521,551.97/32,577.08
  6. Step 6: Final answer
    x = 30,313.38

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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.