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Finding the Fourth Proportional to 46,665, 69,997.50 and 13,833

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Solution

The fourth proportional to 46,665, 69,997.50 and 13,833 is: 20,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,665 : 69,997.50 = 13,833 : x
  2. Step 2: Convert to fraction form
    46,665/69,997.50 = 13,833/x
  3. Step 3: Cross multiply
    46,665x = 69,997.50 × 13,833
  4. Step 4: Simplify right side
    46,665x = 968,275,417.50
  5. Step 5: Solve for x
    x = 968,275,417.50/46,665
  6. Step 6: Final answer
    x = 20,749.50

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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.