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Finding the Fourth Proportional to 29,947.34, 41,027.80 and 28,825.76

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Solution

The fourth proportional to 29,947.34, 41,027.80 and 28,825.76 is: 39,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,947.34 : 41,027.80 = 28,825.76 : x
  2. Step 2: Convert to fraction form
    29,947.34/41,027.80 = 28,825.76/x
  3. Step 3: Cross multiply
    29,947.34x = 41,027.80 × 28,825.76
  4. Step 4: Simplify right side
    29,947.34x = 1,182,657,516.13
  5. Step 5: Solve for x
    x = 1,182,657,516.13/29,947.34
  6. Step 6: Final answer
    x = 39,491.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.