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Finding the Fourth Proportional to 38,843.92, 58,257.16 and 15,152

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Solution

The fourth proportional to 38,843.92, 58,257.16 and 15,152 is: 22,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,843.92 : 58,257.16 = 15,152 : x
  2. Step 2: Convert to fraction form
    38,843.92/58,257.16 = 15,152/x
  3. Step 3: Cross multiply
    38,843.92x = 58,257.16 × 15,152
  4. Step 4: Simplify right side
    38,843.92x = 882,712,488.32
  5. Step 5: Solve for x
    x = 882,712,488.32/38,843.92
  6. Step 6: Final answer
    x = 22,724.60

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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.