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Finding the Fourth Proportional to 34,471.64, 51,706.92 and 19,648.92

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Solution

The fourth proportional to 34,471.64, 51,706.92 and 19,648.92 is: 29,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,471.64 : 51,706.92 = 19,648.92 : x
  2. Step 2: Convert to fraction form
    34,471.64/51,706.92 = 19,648.92/x
  3. Step 3: Cross multiply
    34,471.64x = 51,706.92 × 19,648.92
  4. Step 4: Simplify right side
    34,471.64x = 1,015,985,134.53
  5. Step 5: Solve for x
    x = 1,015,985,134.53/34,471.64
  6. Step 6: Final answer
    x = 29,473.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.