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Finding the Fourth Proportional to 35,817.37, 53,725.99 and 9,522.11

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Solution

The fourth proportional to 35,817.37, 53,725.99 and 9,522.11 is: 14,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,817.37 : 53,725.99 = 9,522.11 : x
  2. Step 2: Convert to fraction form
    35,817.37/53,725.99 = 9,522.11/x
  3. Step 3: Cross multiply
    35,817.37x = 53,725.99 × 9,522.11
  4. Step 4: Simplify right side
    35,817.37x = 511,584,786.64
  5. Step 5: Solve for x
    x = 511,584,786.64/35,817.37
  6. Step 6: Final answer
    x = 14,283.15

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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.