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Finding the Fourth Proportional to 50,004.36, 69,008.16 and 27,342

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Solution

The fourth proportional to 50,004.36, 69,008.16 and 27,342 is: 37,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,004.36 : 69,008.16 = 27,342 : x
  2. Step 2: Convert to fraction form
    50,004.36/69,008.16 = 27,342/x
  3. Step 3: Cross multiply
    50,004.36x = 69,008.16 × 27,342
  4. Step 4: Simplify right side
    50,004.36x = 1,886,821,110.72
  5. Step 5: Solve for x
    x = 1,886,821,110.72/50,004.36
  6. Step 6: Final answer
    x = 37,733.13

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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.