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Finding the Fourth Proportional to 38,791, 58,186.50 and 14,167

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Solution

The fourth proportional to 38,791, 58,186.50 and 14,167 is: 21,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,791 : 58,186.50 = 14,167 : x
  2. Step 2: Convert to fraction form
    38,791/58,186.50 = 14,167/x
  3. Step 3: Cross multiply
    38,791x = 58,186.50 × 14,167
  4. Step 4: Simplify right side
    38,791x = 824,328,145.50
  5. Step 5: Solve for x
    x = 824,328,145.50/38,791
  6. Step 6: Final answer
    x = 21,250.50

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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.