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Finding the Fourth Proportional to 31,138.11, 46,466.14 and 27,815.49

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Solution

The fourth proportional to 31,138.11, 46,466.14 and 27,815.49 is: 41,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.11 : 46,466.14 = 27,815.49 : x
  2. Step 2: Convert to fraction form
    31,138.11/46,466.14 = 27,815.49/x
  3. Step 3: Cross multiply
    31,138.11x = 46,466.14 × 27,815.49
  4. Step 4: Simplify right side
    31,138.11x = 1,292,478,452.51
  5. Step 5: Solve for x
    x = 1,292,478,452.51/31,138.11
  6. Step 6: Final answer
    x = 41,507.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.