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Finding the Fourth Proportional to 46,410.78, 64,040.31 and 27,555.42

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Solution

The fourth proportional to 46,410.78, 64,040.31 and 27,555.42 is: 38,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410.78 : 64,040.31 = 27,555.42 : x
  2. Step 2: Convert to fraction form
    46,410.78/64,040.31 = 27,555.42/x
  3. Step 3: Cross multiply
    46,410.78x = 64,040.31 × 27,555.42
  4. Step 4: Simplify right side
    46,410.78x = 1,764,657,638.98
  5. Step 5: Solve for x
    x = 1,764,657,638.98/46,410.78
  6. Step 6: Final answer
    x = 38,022.58

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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.