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Finding the Fourth Proportional to 46,488.52, 64,163.54 and 27,622

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Solution

The fourth proportional to 46,488.52, 64,163.54 and 27,622 is: 38,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,488.52 : 64,163.54 = 27,622 : x
  2. Step 2: Convert to fraction form
    46,488.52/64,163.54 = 27,622/x
  3. Step 3: Cross multiply
    46,488.52x = 64,163.54 × 27,622
  4. Step 4: Simplify right side
    46,488.52x = 1,772,325,301.88
  5. Step 5: Solve for x
    x = 1,772,325,301.88/46,488.52
  6. Step 6: Final answer
    x = 38,123.93

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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.