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Finding the Fourth Proportional to 33,781.54, 46,607.16 and 21,859.96

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Solution

The fourth proportional to 33,781.54, 46,607.16 and 21,859.96 is: 30,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.54 : 46,607.16 = 21,859.96 : x
  2. Step 2: Convert to fraction form
    33,781.54/46,607.16 = 21,859.96/x
  3. Step 3: Cross multiply
    33,781.54x = 46,607.16 × 21,859.96
  4. Step 4: Simplify right side
    33,781.54x = 1,018,830,653.31
  5. Step 5: Solve for x
    x = 1,018,830,653.31/33,781.54
  6. Step 6: Final answer
    x = 30,159.39

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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.