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Finding the Fourth Proportional to 44,716.50, 61,721.73 and 29,812.50

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Solution

The fourth proportional to 44,716.50, 61,721.73 and 29,812.50 is: 41,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,716.50 : 61,721.73 = 29,812.50 : x
  2. Step 2: Convert to fraction form
    44,716.50/61,721.73 = 29,812.50/x
  3. Step 3: Cross multiply
    44,716.50x = 61,721.73 × 29,812.50
  4. Step 4: Simplify right side
    44,716.50x = 1,840,079,075.63
  5. Step 5: Solve for x
    x = 1,840,079,075.63/44,716.50
  6. Step 6: Final answer
    x = 41,149.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.