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Finding the Fourth Proportional to 105,589.60, 145,717.28 and 57,842.94

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Solution

The fourth proportional to 105,589.60, 145,717.28 and 57,842.94 is: 79,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,589.60 : 145,717.28 = 57,842.94 : x
  2. Step 2: Convert to fraction form
    105,589.60/145,717.28 = 57,842.94/x
  3. Step 3: Cross multiply
    105,589.60x = 145,717.28 × 57,842.94
  4. Step 4: Simplify right side
    105,589.60x = 8,428,715,128.65
  5. Step 5: Solve for x
    x = 8,428,715,128.65/105,589.60
  6. Step 6: Final answer
    x = 79,825.24

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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.