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Finding the Fourth Proportional to 34,023.84, 46,891.91 and 27,671.51

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Solution

The fourth proportional to 34,023.84, 46,891.91 and 27,671.51 is: 38,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,023.84 : 46,891.91 = 27,671.51 : x
  2. Step 2: Convert to fraction form
    34,023.84/46,891.91 = 27,671.51/x
  3. Step 3: Cross multiply
    34,023.84x = 46,891.91 × 27,671.51
  4. Step 4: Simplify right side
    34,023.84x = 1,297,569,956.48
  5. Step 5: Solve for x
    x = 1,297,569,956.48/34,023.84
  6. Step 6: Final answer
    x = 38,137.08

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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.