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Finding the Fourth Proportional to 57,897, 86,845.50 and 14,121

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Solution

The fourth proportional to 57,897, 86,845.50 and 14,121 is: 21,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,897 : 86,845.50 = 14,121 : x
  2. Step 2: Convert to fraction form
    57,897/86,845.50 = 14,121/x
  3. Step 3: Cross multiply
    57,897x = 86,845.50 × 14,121
  4. Step 4: Simplify right side
    57,897x = 1,226,345,305.50
  5. Step 5: Solve for x
    x = 1,226,345,305.50/57,897
  6. Step 6: Final answer
    x = 21,181.50

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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.