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Finding the Fourth Proportional to 34,191.35, 51,281.90 and 10,814.75

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Solution

The fourth proportional to 34,191.35, 51,281.90 and 10,814.75 is: 16,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.35 : 51,281.90 = 10,814.75 : x
  2. Step 2: Convert to fraction form
    34,191.35/51,281.90 = 10,814.75/x
  3. Step 3: Cross multiply
    34,191.35x = 51,281.90 × 10,814.75
  4. Step 4: Simplify right side
    34,191.35x = 554,600,873.95
  5. Step 5: Solve for x
    x = 554,600,873.95/34,191.35
  6. Step 6: Final answer
    x = 16,220.50

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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.