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Finding the Fourth Proportional to 46,584, 69,769.08 and 29,716.56

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Solution

The fourth proportional to 46,584, 69,769.08 and 29,716.56 is: 44,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584 : 69,769.08 = 29,716.56 : x
  2. Step 2: Convert to fraction form
    46,584/69,769.08 = 29,716.56/x
  3. Step 3: Cross multiply
    46,584x = 69,769.08 × 29,716.56
  4. Step 4: Simplify right side
    46,584x = 2,073,297,051.96
  5. Step 5: Solve for x
    x = 2,073,297,051.96/46,584
  6. Step 6: Final answer
    x = 44,506.63

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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.