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Finding the Fourth Proportional to 38,045.56, 57,074.48 and 11,744.16

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Solution

The fourth proportional to 38,045.56, 57,074.48 and 11,744.16 is: 17,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,045.56 : 57,074.48 = 11,744.16 : x
  2. Step 2: Convert to fraction form
    38,045.56/57,074.48 = 11,744.16/x
  3. Step 3: Cross multiply
    38,045.56x = 57,074.48 × 11,744.16
  4. Step 4: Simplify right side
    38,045.56x = 670,291,825.04
  5. Step 5: Solve for x
    x = 670,291,825.04/38,045.56
  6. Step 6: Final answer
    x = 17,618.14

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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.