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Finding the Fourth Proportional to 54,197.36, 74,798 and 31,534.56

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Solution

The fourth proportional to 54,197.36, 74,798 and 31,534.56 is: 43,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,197.36 : 74,798 = 31,534.56 : x
  2. Step 2: Convert to fraction form
    54,197.36/74,798 = 31,534.56/x
  3. Step 3: Cross multiply
    54,197.36x = 74,798 × 31,534.56
  4. Step 4: Simplify right side
    54,197.36x = 2,358,722,018.88
  5. Step 5: Solve for x
    x = 2,358,722,018.88/54,197.36
  6. Step 6: Final answer
    x = 43,520.98

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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.