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Finding the Fourth Proportional to 46,081.88, 69,122.75 and 14,494.71

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Solution

The fourth proportional to 46,081.88, 69,122.75 and 14,494.71 is: 21,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,081.88 : 69,122.75 = 14,494.71 : x
  2. Step 2: Convert to fraction form
    46,081.88/69,122.75 = 14,494.71/x
  3. Step 3: Cross multiply
    46,081.88x = 69,122.75 × 14,494.71
  4. Step 4: Simplify right side
    46,081.88x = 1,001,914,143.18
  5. Step 5: Solve for x
    x = 1,001,914,143.18/46,081.88
  6. Step 6: Final answer
    x = 21,742.04

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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.