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Finding the Fourth Proportional to 53,537, 80,310.45 and 14,094.32

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Solution

The fourth proportional to 53,537, 80,310.45 and 14,094.32 is: 21,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,537 : 80,310.45 = 14,094.32 : x
  2. Step 2: Convert to fraction form
    53,537/80,310.45 = 14,094.32/x
  3. Step 3: Cross multiply
    53,537x = 80,310.45 × 14,094.32
  4. Step 4: Simplify right side
    53,537x = 1,131,921,181.64
  5. Step 5: Solve for x
    x = 1,131,921,181.64/53,537
  6. Step 6: Final answer
    x = 21,142.78

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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.