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Finding the Fourth Proportional to 35,722.92, 53,583.42 and 9,427.89

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Solution

The fourth proportional to 35,722.92, 53,583.42 and 9,427.89 is: 14,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722.92 : 53,583.42 = 9,427.89 : x
  2. Step 2: Convert to fraction form
    35,722.92/53,583.42 = 9,427.89/x
  3. Step 3: Cross multiply
    35,722.92x = 53,583.42 × 9,427.89
  4. Step 4: Simplify right side
    35,722.92x = 505,178,825.88
  5. Step 5: Solve for x
    x = 505,178,825.88/35,722.92
  6. Step 6: Final answer
    x = 14,141.59

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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.