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Finding the Fourth Proportional to 101,393.96, 152,092.98 and 31,273.26

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Solution

The fourth proportional to 101,393.96, 152,092.98 and 31,273.26 is: 46,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,393.96 : 152,092.98 = 31,273.26 : x
  2. Step 2: Convert to fraction form
    101,393.96/152,092.98 = 31,273.26/x
  3. Step 3: Cross multiply
    101,393.96x = 152,092.98 × 31,273.26
  4. Step 4: Simplify right side
    101,393.96x = 4,756,443,307.71
  5. Step 5: Solve for x
    x = 4,756,443,307.71/101,393.96
  6. Step 6: Final answer
    x = 46,910.52

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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.