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Finding the Fourth Proportional to 83,054.34, 114,575.13 and 54,361.37

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Solution

The fourth proportional to 83,054.34, 114,575.13 and 54,361.37 is: 74,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054.34 : 114,575.13 = 54,361.37 : x
  2. Step 2: Convert to fraction form
    83,054.34/114,575.13 = 54,361.37/x
  3. Step 3: Cross multiply
    83,054.34x = 114,575.13 × 54,361.37
  4. Step 4: Simplify right side
    83,054.34x = 6,228,461,034.73
  5. Step 5: Solve for x
    x = 6,228,461,034.73/83,054.34
  6. Step 6: Final answer
    x = 74,992.60

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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.