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Finding the Fourth Proportional to 29,835.83, 41,173.75 and 16,407.18

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Solution

The fourth proportional to 29,835.83, 41,173.75 and 16,407.18 is: 22,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.83 : 41,173.75 = 16,407.18 : x
  2. Step 2: Convert to fraction form
    29,835.83/41,173.75 = 16,407.18/x
  3. Step 3: Cross multiply
    29,835.83x = 41,173.75 × 16,407.18
  4. Step 4: Simplify right side
    29,835.83x = 675,545,148.03
  5. Step 5: Solve for x
    x = 675,545,148.03/29,835.83
  6. Step 6: Final answer
    x = 22,642.07

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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.