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Finding the Fourth Proportional to 37,559.49, 51,827 and 22,448.94

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Solution

The fourth proportional to 37,559.49, 51,827 and 22,448.94 is: 30,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,559.49 : 51,827 = 22,448.94 : x
  2. Step 2: Convert to fraction form
    37,559.49/51,827 = 22,448.94/x
  3. Step 3: Cross multiply
    37,559.49x = 51,827 × 22,448.94
  4. Step 4: Simplify right side
    37,559.49x = 1,163,461,213.38
  5. Step 5: Solve for x
    x = 1,163,461,213.38/37,559.49
  6. Step 6: Final answer
    x = 30,976.49

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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.