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Finding the Fourth Proportional to 35,955.66, 53,936.73 and 9,659.82

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Solution

The fourth proportional to 35,955.66, 53,936.73 and 9,659.82 is: 14,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,955.66 : 53,936.73 = 9,659.82 : x
  2. Step 2: Convert to fraction form
    35,955.66/53,936.73 = 9,659.82/x
  3. Step 3: Cross multiply
    35,955.66x = 53,936.73 × 9,659.82
  4. Step 4: Simplify right side
    35,955.66x = 521,019,103.19
  5. Step 5: Solve for x
    x = 521,019,103.19/35,955.66
  6. Step 6: Final answer
    x = 14,490.60

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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.