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Finding the Fourth Proportional to 44,448, 61,338.24 and 24,576

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Solution

The fourth proportional to 44,448, 61,338.24 and 24,576 is: 33,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,448 : 61,338.24 = 24,576 : x
  2. Step 2: Convert to fraction form
    44,448/61,338.24 = 24,576/x
  3. Step 3: Cross multiply
    44,448x = 61,338.24 × 24,576
  4. Step 4: Simplify right side
    44,448x = 1,507,448,586.24
  5. Step 5: Solve for x
    x = 1,507,448,586.24/44,448
  6. Step 6: Final answer
    x = 33,914.88

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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.