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Finding the Fourth Proportional to 38,705.50, 58,068 and 11,003.50

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Solution

The fourth proportional to 38,705.50, 58,068 and 11,003.50 is: 16,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.50 : 58,068 = 11,003.50 : x
  2. Step 2: Convert to fraction form
    38,705.50/58,068 = 11,003.50/x
  3. Step 3: Cross multiply
    38,705.50x = 58,068 × 11,003.50
  4. Step 4: Simplify right side
    38,705.50x = 638,951,238
  5. Step 5: Solve for x
    x = 638,951,238/38,705.50
  6. Step 6: Final answer
    x = 16,508.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.