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Finding the Fourth Proportional to 34,352.70, 51,419.70 and 24,511.20

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Solution

The fourth proportional to 34,352.70, 51,419.70 and 24,511.20 is: 36,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,352.70 : 51,419.70 = 24,511.20 : x
  2. Step 2: Convert to fraction form
    34,352.70/51,419.70 = 24,511.20/x
  3. Step 3: Cross multiply
    34,352.70x = 51,419.70 × 24,511.20
  4. Step 4: Simplify right side
    34,352.70x = 1,260,358,550.64
  5. Step 5: Solve for x
    x = 1,260,358,550.64/34,352.70
  6. Step 6: Final answer
    x = 36,688.78

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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.