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Finding the Fourth Proportional to 53,616.06, 74,014.02 and 33,469.20

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Solution

The fourth proportional to 53,616.06, 74,014.02 and 33,469.20 is: 46,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,616.06 : 74,014.02 = 33,469.20 : x
  2. Step 2: Convert to fraction form
    53,616.06/74,014.02 = 33,469.20/x
  3. Step 3: Cross multiply
    53,616.06x = 74,014.02 × 33,469.20
  4. Step 4: Simplify right side
    53,616.06x = 2,477,190,038.18
  5. Step 5: Solve for x
    x = 2,477,190,038.18/53,616.06
  6. Step 6: Final answer
    x = 46,202.39

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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.