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Finding the Fourth Proportional to 46,846.87, 70,269.67 and 11,307.90

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Solution

The fourth proportional to 46,846.87, 70,269.67 and 11,307.90 is: 16,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,846.87 : 70,269.67 = 11,307.90 : x
  2. Step 2: Convert to fraction form
    46,846.87/70,269.67 = 11,307.90/x
  3. Step 3: Cross multiply
    46,846.87x = 70,269.67 × 11,307.90
  4. Step 4: Simplify right side
    46,846.87x = 794,602,401.39
  5. Step 5: Solve for x
    x = 794,602,401.39/46,846.87
  6. Step 6: Final answer
    x = 16,961.70

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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.