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Finding the Fourth Proportional to 38,052.45, 57,064.70 and 13,085.42

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Solution

The fourth proportional to 38,052.45, 57,064.70 and 13,085.42 is: 19,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052.45 : 57,064.70 = 13,085.42 : x
  2. Step 2: Convert to fraction form
    38,052.45/57,064.70 = 13,085.42/x
  3. Step 3: Cross multiply
    38,052.45x = 57,064.70 × 13,085.42
  4. Step 4: Simplify right side
    38,052.45x = 746,715,314.06
  5. Step 5: Solve for x
    x = 746,715,314.06/38,052.45
  6. Step 6: Final answer
    x = 19,623.32

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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.