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Finding the Fourth Proportional to 37,989, 52,424.82 and 23,085

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Solution

The fourth proportional to 37,989, 52,424.82 and 23,085 is: 31,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,989 : 52,424.82 = 23,085 : x
  2. Step 2: Convert to fraction form
    37,989/52,424.82 = 23,085/x
  3. Step 3: Cross multiply
    37,989x = 52,424.82 × 23,085
  4. Step 4: Simplify right side
    37,989x = 1,210,226,969.70
  5. Step 5: Solve for x
    x = 1,210,226,969.70/37,989
  6. Step 6: Final answer
    x = 31,857.30

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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.