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Finding the Fourth Proportional to 106,039.66, 146,337.53 and 57,644.84

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Solution

The fourth proportional to 106,039.66, 146,337.53 and 57,644.84 is: 79,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,039.66 : 146,337.53 = 57,644.84 : x
  2. Step 2: Convert to fraction form
    106,039.66/146,337.53 = 57,644.84/x
  3. Step 3: Cross multiply
    106,039.66x = 146,337.53 × 57,644.84
  4. Step 4: Simplify right side
    106,039.66x = 8,435,603,580.46
  5. Step 5: Solve for x
    x = 8,435,603,580.46/106,039.66
  6. Step 6: Final answer
    x = 79,551.40

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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.