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Finding the Fourth Proportional to 33,454, 46,173.72 and 20,028.25

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Solution

The fourth proportional to 33,454, 46,173.72 and 20,028.25 is: 27,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454 : 46,173.72 = 20,028.25 : x
  2. Step 2: Convert to fraction form
    33,454/46,173.72 = 20,028.25/x
  3. Step 3: Cross multiply
    33,454x = 46,173.72 × 20,028.25
  4. Step 4: Simplify right side
    33,454x = 924,778,807.59
  5. Step 5: Solve for x
    x = 924,778,807.59/33,454
  6. Step 6: Final answer
    x = 27,643.30

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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.