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Finding the Fourth Proportional to 35,107, 52,662.66 and 10,483

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Solution

The fourth proportional to 35,107, 52,662.66 and 10,483 is: 15,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,107 : 52,662.66 = 10,483 : x
  2. Step 2: Convert to fraction form
    35,107/52,662.66 = 10,483/x
  3. Step 3: Cross multiply
    35,107x = 52,662.66 × 10,483
  4. Step 4: Simplify right side
    35,107x = 552,062,664.78
  5. Step 5: Solve for x
    x = 552,062,664.78/35,107
  6. Step 6: Final answer
    x = 15,725.14

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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.