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Finding the Fourth Proportional to 35,655.72, 53,481.42 and 9,359.88

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Solution

The fourth proportional to 35,655.72, 53,481.42 and 9,359.88 is: 14,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655.72 : 53,481.42 = 9,359.88 : x
  2. Step 2: Convert to fraction form
    35,655.72/53,481.42 = 9,359.88/x
  3. Step 3: Cross multiply
    35,655.72x = 53,481.42 × 9,359.88
  4. Step 4: Simplify right side
    35,655.72x = 500,579,673.43
  5. Step 5: Solve for x
    x = 500,579,673.43/35,655.72
  6. Step 6: Final answer
    x = 14,039.25

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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.