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Finding the Fourth Proportional to 45,858.14, 68,806.98 and 24,813

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Solution

The fourth proportional to 45,858.14, 68,806.98 and 24,813 is: 37,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,858.14 : 68,806.98 = 24,813 : x
  2. Step 2: Convert to fraction form
    45,858.14/68,806.98 = 24,813/x
  3. Step 3: Cross multiply
    45,858.14x = 68,806.98 × 24,813
  4. Step 4: Simplify right side
    45,858.14x = 1,707,307,594.74
  5. Step 5: Solve for x
    x = 1,707,307,594.74/45,858.14
  6. Step 6: Final answer
    x = 37,230.20

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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.