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Finding the Fourth Proportional to 38,506.32, 57,744.90 and 15,120

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Solution

The fourth proportional to 38,506.32, 57,744.90 and 15,120 is: 22,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.32 : 57,744.90 = 15,120 : x
  2. Step 2: Convert to fraction form
    38,506.32/57,744.90 = 15,120/x
  3. Step 3: Cross multiply
    38,506.32x = 57,744.90 × 15,120
  4. Step 4: Simplify right side
    38,506.32x = 873,102,888
  5. Step 5: Solve for x
    x = 873,102,888/38,506.32
  6. Step 6: Final answer
    x = 22,674.27

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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.