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Finding the Fourth Proportional to 101,998.41, 152,997.62 and 31,878.33

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Solution

The fourth proportional to 101,998.41, 152,997.62 and 31,878.33 is: 47,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,998.41 : 152,997.62 = 31,878.33 : x
  2. Step 2: Convert to fraction form
    101,998.41/152,997.62 = 31,878.33/x
  3. Step 3: Cross multiply
    101,998.41x = 152,997.62 × 31,878.33
  4. Step 4: Simplify right side
    101,998.41x = 4,877,308,460.18
  5. Step 5: Solve for x
    x = 4,877,308,460.18/101,998.41
  6. Step 6: Final answer
    x = 47,817.50

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1.5x scale

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.