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Finding the Fourth Proportional to 35,842.82, 53,730.64 and 12,133.78

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Solution

The fourth proportional to 35,842.82, 53,730.64 and 12,133.78 is: 18,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.82 : 53,730.64 = 12,133.78 : x
  2. Step 2: Convert to fraction form
    35,842.82/53,730.64 = 12,133.78/x
  3. Step 3: Cross multiply
    35,842.82x = 53,730.64 × 12,133.78
  4. Step 4: Simplify right side
    35,842.82x = 651,955,765.02
  5. Step 5: Solve for x
    x = 651,955,765.02/35,842.82
  6. Step 6: Final answer
    x = 18,189.30

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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.