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Finding the Fourth Proportional to 37,399.84, 51,506.76 and 36,583.36

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Solution

The fourth proportional to 37,399.84, 51,506.76 and 36,583.36 is: 50,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,399.84 : 51,506.76 = 36,583.36 : x
  2. Step 2: Convert to fraction form
    37,399.84/51,506.76 = 36,583.36/x
  3. Step 3: Cross multiply
    37,399.84x = 51,506.76 × 36,583.36
  4. Step 4: Simplify right side
    37,399.84x = 1,884,290,343.51
  5. Step 5: Solve for x
    x = 1,884,290,343.51/37,399.84
  6. Step 6: Final answer
    x = 50,382.31

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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.