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Finding the Fourth Proportional to 31,602.42, 43,619.31 and 20,842.38

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Solution

The fourth proportional to 31,602.42, 43,619.31 and 20,842.38 is: 28,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.42 : 43,619.31 = 20,842.38 : x
  2. Step 2: Convert to fraction form
    31,602.42/43,619.31 = 20,842.38/x
  3. Step 3: Cross multiply
    31,602.42x = 43,619.31 × 20,842.38
  4. Step 4: Simplify right side
    31,602.42x = 909,130,234.36
  5. Step 5: Solve for x
    x = 909,130,234.36/31,602.42
  6. Step 6: Final answer
    x = 28,767.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.