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Finding the Fourth Proportional to 29,732.68, 41,030.76 and 17,157.16

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Solution

The fourth proportional to 29,732.68, 41,030.76 and 17,157.16 is: 23,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,732.68 : 41,030.76 = 17,157.16 : x
  2. Step 2: Convert to fraction form
    29,732.68/41,030.76 = 17,157.16/x
  3. Step 3: Cross multiply
    29,732.68x = 41,030.76 × 17,157.16
  4. Step 4: Simplify right side
    29,732.68x = 703,971,314.24
  5. Step 5: Solve for x
    x = 703,971,314.24/29,732.68
  6. Step 6: Final answer
    x = 23,676.69

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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.