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Finding the Fourth Proportional to 35,694.70, 53,537.48 and 9,401.46

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Solution

The fourth proportional to 35,694.70, 53,537.48 and 9,401.46 is: 14,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,694.70 : 53,537.48 = 9,401.46 : x
  2. Step 2: Convert to fraction form
    35,694.70/53,537.48 = 9,401.46/x
  3. Step 3: Cross multiply
    35,694.70x = 53,537.48 × 9,401.46
  4. Step 4: Simplify right side
    35,694.70x = 503,330,476.72
  5. Step 5: Solve for x
    x = 503,330,476.72/35,694.70
  6. Step 6: Final answer
    x = 14,100.99

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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.