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Finding the Fourth Proportional to 34,539.64, 47,649.72 and 21,782.76

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Solution

The fourth proportional to 34,539.64, 47,649.72 and 21,782.76 is: 30,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,539.64 : 47,649.72 = 21,782.76 : x
  2. Step 2: Convert to fraction form
    34,539.64/47,649.72 = 21,782.76/x
  3. Step 3: Cross multiply
    34,539.64x = 47,649.72 × 21,782.76
  4. Step 4: Simplify right side
    34,539.64x = 1,037,942,414.83
  5. Step 5: Solve for x
    x = 1,037,942,414.83/34,539.64
  6. Step 6: Final answer
    x = 30,050.76

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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.