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Finding the Fourth Proportional to 34,495.96, 51,733.14 and 22,870.84

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Solution

The fourth proportional to 34,495.96, 51,733.14 and 22,870.84 is: 34,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495.96 : 51,733.14 = 22,870.84 : x
  2. Step 2: Convert to fraction form
    34,495.96/51,733.14 = 22,870.84/x
  3. Step 3: Cross multiply
    34,495.96x = 51,733.14 × 22,870.84
  4. Step 4: Simplify right side
    34,495.96x = 1,183,180,367.64
  5. Step 5: Solve for x
    x = 1,183,180,367.64/34,495.96
  6. Step 6: Final answer
    x = 34,299.10

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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.