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Finding the Fourth Proportional to 35,739.75, 53,611.92 and 9,443.82

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Solution

The fourth proportional to 35,739.75, 53,611.92 and 9,443.82 is: 14,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,739.75 : 53,611.92 = 9,443.82 : x
  2. Step 2: Convert to fraction form
    35,739.75/53,611.92 = 9,443.82/x
  3. Step 3: Cross multiply
    35,739.75x = 53,611.92 × 9,443.82
  4. Step 4: Simplify right side
    35,739.75x = 506,301,322.33
  5. Step 5: Solve for x
    x = 506,301,322.33/35,739.75
  6. Step 6: Final answer
    x = 14,166.34

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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.