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Finding the Fourth Proportional to 46,665, 70,006.14 and 22,041

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Solution

The fourth proportional to 46,665, 70,006.14 and 22,041 is: 33,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,665 : 70,006.14 = 22,041 : x
  2. Step 2: Convert to fraction form
    46,665/70,006.14 = 22,041/x
  3. Step 3: Cross multiply
    46,665x = 70,006.14 × 22,041
  4. Step 4: Simplify right side
    46,665x = 1,543,005,331.74
  5. Step 5: Solve for x
    x = 1,543,005,331.74/46,665
  6. Step 6: Final answer
    x = 33,065.58

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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.