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Finding the Fourth Proportional to 74,305, 102,553.86 and 44,497

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Solution

The fourth proportional to 74,305, 102,553.86 and 44,497 is: 61,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,305 : 102,553.86 = 44,497 : x
  2. Step 2: Convert to fraction form
    74,305/102,553.86 = 44,497/x
  3. Step 3: Cross multiply
    74,305x = 102,553.86 × 44,497
  4. Step 4: Simplify right side
    74,305x = 4,563,339,108.42
  5. Step 5: Solve for x
    x = 4,563,339,108.42/74,305
  6. Step 6: Final answer
    x = 61,413.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.