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Finding the Fourth Proportional to 46,267, 69,395.34 and 12,988.36

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Solution

The fourth proportional to 46,267, 69,395.34 and 12,988.36 is: 19,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,267 : 69,395.34 = 12,988.36 : x
  2. Step 2: Convert to fraction form
    46,267/69,395.34 = 12,988.36/x
  3. Step 3: Cross multiply
    46,267x = 69,395.34 × 12,988.36
  4. Step 4: Simplify right side
    46,267x = 901,331,658.24
  5. Step 5: Solve for x
    x = 901,331,658.24/46,267
  6. Step 6: Final answer
    x = 19,481.09

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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.