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Finding the Fourth Proportional to 30,071.68, 41,502.24 and 21,693.44

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Solution

The fourth proportional to 30,071.68, 41,502.24 and 21,693.44 is: 29,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.68 : 41,502.24 = 21,693.44 : x
  2. Step 2: Convert to fraction form
    30,071.68/41,502.24 = 21,693.44/x
  3. Step 3: Cross multiply
    30,071.68x = 41,502.24 × 21,693.44
  4. Step 4: Simplify right side
    30,071.68x = 900,326,353.31
  5. Step 5: Solve for x
    x = 900,326,353.31/30,071.68
  6. Step 6: Final answer
    x = 29,939.34

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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.