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Finding the Fourth Proportional to 49,842.40, 74,771.07 and 16,097.14

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Solution

The fourth proportional to 49,842.40, 74,771.07 and 16,097.14 is: 24,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,842.40 : 74,771.07 = 16,097.14 : x
  2. Step 2: Convert to fraction form
    49,842.40/74,771.07 = 16,097.14/x
  3. Step 3: Cross multiply
    49,842.40x = 74,771.07 × 16,097.14
  4. Step 4: Simplify right side
    49,842.40x = 1,203,600,381.74
  5. Step 5: Solve for x
    x = 1,203,600,381.74/49,842.40
  6. Step 6: Final answer
    x = 24,148.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.