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Finding the Fourth Proportional to 34,118.64, 51,206.71 and 14,411.34

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Solution

The fourth proportional to 34,118.64, 51,206.71 and 14,411.34 is: 21,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,118.64 : 51,206.71 = 14,411.34 : x
  2. Step 2: Convert to fraction form
    34,118.64/51,206.71 = 14,411.34/x
  3. Step 3: Cross multiply
    34,118.64x = 51,206.71 × 14,411.34
  4. Step 4: Simplify right side
    34,118.64x = 737,957,052.06
  5. Step 5: Solve for x
    x = 737,957,052.06/34,118.64
  6. Step 6: Final answer
    x = 21,629.15

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