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Finding the Fourth Proportional to 101,998.60, 152,998.02 and 31,878.28

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Solution

The fourth proportional to 101,998.60, 152,998.02 and 31,878.28 is: 47,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,998.60 : 152,998.02 = 31,878.28 : x
  2. Step 2: Convert to fraction form
    101,998.60/152,998.02 = 31,878.28/x
  3. Step 3: Cross multiply
    101,998.60x = 152,998.02 × 31,878.28
  4. Step 4: Simplify right side
    101,998.60x = 4,877,313,721.01
  5. Step 5: Solve for x
    x = 4,877,313,721.01/101,998.60
  6. Step 6: Final answer
    x = 47,817.46

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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.