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Finding the Fourth Proportional to 46,846.48, 70,276.20 and 19,138

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Solution

The fourth proportional to 46,846.48, 70,276.20 and 19,138 is: 28,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,846.48 : 70,276.20 = 19,138 : x
  2. Step 2: Convert to fraction form
    46,846.48/70,276.20 = 19,138/x
  3. Step 3: Cross multiply
    46,846.48x = 70,276.20 × 19,138
  4. Step 4: Simplify right side
    46,846.48x = 1,344,945,915.60
  5. Step 5: Solve for x
    x = 1,344,945,915.60/46,846.48
  6. Step 6: Final answer
    x = 28,709.65

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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.