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Finding the Fourth Proportional to 106,392.75, 146,823 and 58,647.81

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Solution

The fourth proportional to 106,392.75, 146,823 and 58,647.81 is: 80,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392.75 : 146,823 = 58,647.81 : x
  2. Step 2: Convert to fraction form
    106,392.75/146,823 = 58,647.81/x
  3. Step 3: Cross multiply
    106,392.75x = 146,823 × 58,647.81
  4. Step 4: Simplify right side
    106,392.75x = 8,610,847,407.63
  5. Step 5: Solve for x
    x = 8,610,847,407.63/106,392.75
  6. Step 6: Final answer
    x = 80,934.53

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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.