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Finding the Fourth Proportional to 46,126, 69,189 and 14,961.25

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Solution

The fourth proportional to 46,126, 69,189 and 14,961.25 is: 22,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,126 : 69,189 = 14,961.25 : x
  2. Step 2: Convert to fraction form
    46,126/69,189 = 14,961.25/x
  3. Step 3: Cross multiply
    46,126x = 69,189 × 14,961.25
  4. Step 4: Simplify right side
    46,126x = 1,035,153,926.25
  5. Step 5: Solve for x
    x = 1,035,153,926.25/46,126
  6. Step 6: Final answer
    x = 22,441.88

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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.