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Finding the Fourth Proportional to 33,507.25, 46,242.36 and 22,157.02

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Solution

The fourth proportional to 33,507.25, 46,242.36 and 22,157.02 is: 30,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,507.25 : 46,242.36 = 22,157.02 : x
  2. Step 2: Convert to fraction form
    33,507.25/46,242.36 = 22,157.02/x
  3. Step 3: Cross multiply
    33,507.25x = 46,242.36 × 22,157.02
  4. Step 4: Simplify right side
    33,507.25x = 1,024,592,784.58
  5. Step 5: Solve for x
    x = 1,024,592,784.58/33,507.25
  6. Step 6: Final answer
    x = 30,578.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.