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Finding the Fourth Proportional to 51,883.24, 71,594.82 and 29,221

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Solution

The fourth proportional to 51,883.24, 71,594.82 and 29,221 is: 40,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883.24 : 71,594.82 = 29,221 : x
  2. Step 2: Convert to fraction form
    51,883.24/71,594.82 = 29,221/x
  3. Step 3: Cross multiply
    51,883.24x = 71,594.82 × 29,221
  4. Step 4: Simplify right side
    51,883.24x = 2,092,072,235.22
  5. Step 5: Solve for x
    x = 2,092,072,235.22/51,883.24
  6. Step 6: Final answer
    x = 40,322.70

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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.