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Finding the Fourth Proportional to 83,135.46, 114,686.89 and 54,442.33

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Solution

The fourth proportional to 83,135.46, 114,686.89 and 54,442.33 is: 75,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135.46 : 114,686.89 = 54,442.33 : x
  2. Step 2: Convert to fraction form
    83,135.46/114,686.89 = 54,442.33/x
  3. Step 3: Cross multiply
    83,135.46x = 114,686.89 × 54,442.33
  4. Step 4: Simplify right side
    83,135.46x = 6,243,821,089.23
  5. Step 5: Solve for x
    x = 6,243,821,089.23/83,135.46
  6. Step 6: Final answer
    x = 75,104.18

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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.