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Finding the Fourth Proportional to 38,085.52, 57,093.29 and 13,119.63

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Solution

The fourth proportional to 38,085.52, 57,093.29 and 13,119.63 is: 19,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,085.52 : 57,093.29 = 13,119.63 : x
  2. Step 2: Convert to fraction form
    38,085.52/57,093.29 = 13,119.63/x
  3. Step 3: Cross multiply
    38,085.52x = 57,093.29 × 13,119.63
  4. Step 4: Simplify right side
    38,085.52x = 749,042,967.83
  5. Step 5: Solve for x
    x = 749,042,967.83/38,085.52
  6. Step 6: Final answer
    x = 19,667.40

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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.