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Finding the Fourth Proportional to 37,338.80, 51,509.40 and 23,899.28

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Solution

The fourth proportional to 37,338.80, 51,509.40 and 23,899.28 is: 32,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,338.80 : 51,509.40 = 23,899.28 : x
  2. Step 2: Convert to fraction form
    37,338.80/51,509.40 = 23,899.28/x
  3. Step 3: Cross multiply
    37,338.80x = 51,509.40 × 23,899.28
  4. Step 4: Simplify right side
    37,338.80x = 1,231,037,573.23
  5. Step 5: Solve for x
    x = 1,231,037,573.23/37,338.80
  6. Step 6: Final answer
    x = 32,969.39

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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.