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Finding the Fourth Proportional to 51,414.58, 70,976.01 and 32,577.22

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Solution

The fourth proportional to 51,414.58, 70,976.01 and 32,577.22 is: 44,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,414.58 : 70,976.01 = 32,577.22 : x
  2. Step 2: Convert to fraction form
    51,414.58/70,976.01 = 32,577.22/x
  3. Step 3: Cross multiply
    51,414.58x = 70,976.01 × 32,577.22
  4. Step 4: Simplify right side
    51,414.58x = 2,312,201,092.49
  5. Step 5: Solve for x
    x = 2,312,201,092.49/51,414.58
  6. Step 6: Final answer
    x = 44,971.70

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