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Finding the Fourth Proportional to 114,843, 172,264.50 and 31,737

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Solution

The fourth proportional to 114,843, 172,264.50 and 31,737 is: 47,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,843 : 172,264.50 = 31,737 : x
  2. Step 2: Convert to fraction form
    114,843/172,264.50 = 31,737/x
  3. Step 3: Cross multiply
    114,843x = 172,264.50 × 31,737
  4. Step 4: Simplify right side
    114,843x = 5,467,158,436.50
  5. Step 5: Solve for x
    x = 5,467,158,436.50/114,843
  6. Step 6: Final answer
    x = 47,605.50

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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.