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Finding the Fourth Proportional to 38,708.50, 58,072.50 and 11,006.50

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Solution

The fourth proportional to 38,708.50, 58,072.50 and 11,006.50 is: 16,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,708.50 : 58,072.50 = 11,006.50 : x
  2. Step 2: Convert to fraction form
    38,708.50/58,072.50 = 11,006.50/x
  3. Step 3: Cross multiply
    38,708.50x = 58,072.50 × 11,006.50
  4. Step 4: Simplify right side
    38,708.50x = 639,174,971.25
  5. Step 5: Solve for x
    x = 639,174,971.25/38,708.50
  6. Step 6: Final answer
    x = 16,512.52

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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.