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Finding the Fourth Proportional to 33,565, 46,319.86 and 18,661

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Solution

The fourth proportional to 33,565, 46,319.86 and 18,661 is: 25,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,565 : 46,319.86 = 18,661 : x
  2. Step 2: Convert to fraction form
    33,565/46,319.86 = 18,661/x
  3. Step 3: Cross multiply
    33,565x = 46,319.86 × 18,661
  4. Step 4: Simplify right side
    33,565x = 864,374,907.46
  5. Step 5: Solve for x
    x = 864,374,907.46/33,565
  6. Step 6: Final answer
    x = 25,752.27

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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.