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Finding the Fourth Proportional to 33,157.78, 45,774.72 and 25,587.16

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Solution

The fourth proportional to 33,157.78, 45,774.72 and 25,587.16 is: 35,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.78 : 45,774.72 = 25,587.16 : x
  2. Step 2: Convert to fraction form
    33,157.78/45,774.72 = 25,587.16/x
  3. Step 3: Cross multiply
    33,157.78x = 45,774.72 × 25,587.16
  4. Step 4: Simplify right side
    33,157.78x = 1,171,245,084.60
  5. Step 5: Solve for x
    x = 1,171,245,084.60/33,157.78
  6. Step 6: Final answer
    x = 35,323.39

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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.