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Finding the Fourth Proportional to 29,835.27, 41,173.65 and 16,407.50

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Solution

The fourth proportional to 29,835.27, 41,173.65 and 16,407.50 is: 22,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.27 : 41,173.65 = 16,407.50 : x
  2. Step 2: Convert to fraction form
    29,835.27/41,173.65 = 16,407.50/x
  3. Step 3: Cross multiply
    29,835.27x = 41,173.65 × 16,407.50
  4. Step 4: Simplify right side
    29,835.27x = 675,556,456.51
  5. Step 5: Solve for x
    x = 675,556,456.51/29,835.27
  6. Step 6: Final answer
    x = 22,642.88

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