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Finding the Fourth Proportional to 53,224.36, 73,411 and 36,198.34

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Solution

The fourth proportional to 53,224.36, 73,411 and 36,198.34 is: 49,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,224.36 : 73,411 = 36,198.34 : x
  2. Step 2: Convert to fraction form
    53,224.36/73,411 = 36,198.34/x
  3. Step 3: Cross multiply
    53,224.36x = 73,411 × 36,198.34
  4. Step 4: Simplify right side
    53,224.36x = 2,657,356,337.74
  5. Step 5: Solve for x
    x = 2,657,356,337.74/53,224.36
  6. Step 6: Final answer
    x = 49,927.45

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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.