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Finding the Fourth Proportional to 130,333, 195,501.42 and 31,837

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Solution

The fourth proportional to 130,333, 195,501.42 and 31,837 is: 47,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,333 : 195,501.42 = 31,837 : x
  2. Step 2: Convert to fraction form
    130,333/195,501.42 = 31,837/x
  3. Step 3: Cross multiply
    130,333x = 195,501.42 × 31,837
  4. Step 4: Simplify right side
    130,333x = 6,224,178,708.54
  5. Step 5: Solve for x
    x = 6,224,178,708.54/130,333
  6. Step 6: Final answer
    x = 47,755.97

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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.