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Finding the Fourth Proportional to 34,266.84, 51,407.46 and 14,544.96

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Solution

The fourth proportional to 34,266.84, 51,407.46 and 14,544.96 is: 21,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,266.84 : 51,407.46 = 14,544.96 : x
  2. Step 2: Convert to fraction form
    34,266.84/51,407.46 = 14,544.96/x
  3. Step 3: Cross multiply
    34,266.84x = 51,407.46 × 14,544.96
  4. Step 4: Simplify right side
    34,266.84x = 747,719,449.40
  5. Step 5: Solve for x
    x = 747,719,449.40/34,266.84
  6. Step 6: Final answer
    x = 21,820.50

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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.