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Finding the Fourth Proportional to 53,884.38, 74,334.69 and 41,865.48

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Solution

The fourth proportional to 53,884.38, 74,334.69 and 41,865.48 is: 57,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,884.38 : 74,334.69 = 41,865.48 : x
  2. Step 2: Convert to fraction form
    53,884.38/74,334.69 = 41,865.48/x
  3. Step 3: Cross multiply
    53,884.38x = 74,334.69 × 41,865.48
  4. Step 4: Simplify right side
    53,884.38x = 3,112,057,477.50
  5. Step 5: Solve for x
    x = 3,112,057,477.50/53,884.38
  6. Step 6: Final answer
    x = 57,754.35

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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.