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Finding the Fourth Proportional to 37,866.24, 57,003.84 and 34,056

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Solution

The fourth proportional to 37,866.24, 57,003.84 and 34,056 is: 51,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866.24 : 57,003.84 = 34,056 : x
  2. Step 2: Convert to fraction form
    37,866.24/57,003.84 = 34,056/x
  3. Step 3: Cross multiply
    37,866.24x = 57,003.84 × 34,056
  4. Step 4: Simplify right side
    37,866.24x = 1,941,322,775.04
  5. Step 5: Solve for x
    x = 1,941,322,775.04/37,866.24
  6. Step 6: Final answer
    x = 51,267.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.