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Finding the Fourth Proportional to 46,511.65, 64,163.52 and 27,635.41

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Solution

The fourth proportional to 46,511.65, 64,163.52 and 27,635.41 is: 38,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,511.65 : 64,163.52 = 27,635.41 : x
  2. Step 2: Convert to fraction form
    46,511.65/64,163.52 = 27,635.41/x
  3. Step 3: Cross multiply
    46,511.65x = 64,163.52 × 27,635.41
  4. Step 4: Simplify right side
    46,511.65x = 1,773,185,182.24
  5. Step 5: Solve for x
    x = 1,773,185,182.24/46,511.65
  6. Step 6: Final answer
    x = 38,123.46

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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.