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Finding the Fourth Proportional to 102,003.96, 153,027.54 and 31,888.56

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Solution

The fourth proportional to 102,003.96, 153,027.54 and 31,888.56 is: 47,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.96 : 153,027.54 = 31,888.56 : x
  2. Step 2: Convert to fraction form
    102,003.96/153,027.54 = 31,888.56/x
  3. Step 3: Cross multiply
    102,003.96x = 153,027.54 × 31,888.56
  4. Step 4: Simplify right side
    102,003.96x = 4,879,827,890.94
  5. Step 5: Solve for x
    x = 4,879,827,890.94/102,003.96
  6. Step 6: Final answer
    x = 47,839.59

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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.