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Finding the Fourth Proportional to 101,910.51, 152,865.77 and 31,795.29

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Solution

The fourth proportional to 101,910.51, 152,865.77 and 31,795.29 is: 47,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,910.51 : 152,865.77 = 31,795.29 : x
  2. Step 2: Convert to fraction form
    101,910.51/152,865.77 = 31,795.29/x
  3. Step 3: Cross multiply
    101,910.51x = 152,865.77 × 31,795.29
  4. Step 4: Simplify right side
    101,910.51x = 4,860,411,329.25
  5. Step 5: Solve for x
    x = 4,860,411,329.25/101,910.51
  6. Step 6: Final answer
    x = 47,692.94

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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.