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Finding the Fourth Proportional to 35,894.88, 54,058.32 and 31,786.56

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Solution

The fourth proportional to 35,894.88, 54,058.32 and 31,786.56 is: 47,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.88 : 54,058.32 = 31,786.56 : x
  2. Step 2: Convert to fraction form
    35,894.88/54,058.32 = 31,786.56/x
  3. Step 3: Cross multiply
    35,894.88x = 54,058.32 × 31,786.56
  4. Step 4: Simplify right side
    35,894.88x = 1,718,328,032.18
  5. Step 5: Solve for x
    x = 1,718,328,032.18/35,894.88
  6. Step 6: Final answer
    x = 47,871.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.