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Finding the Fourth Proportional to 46,134.26, 69,201.40 and 14,969.50

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Solution

The fourth proportional to 46,134.26, 69,201.40 and 14,969.50 is: 22,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,134.26 : 69,201.40 = 14,969.50 : x
  2. Step 2: Convert to fraction form
    46,134.26/69,201.40 = 14,969.50/x
  3. Step 3: Cross multiply
    46,134.26x = 69,201.40 × 14,969.50
  4. Step 4: Simplify right side
    46,134.26x = 1,035,910,357.30
  5. Step 5: Solve for x
    x = 1,035,910,357.30/46,134.26
  6. Step 6: Final answer
    x = 22,454.25

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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.