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Finding the Fourth Proportional to 30,725.88, 46,014.96 and 17,538.24

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Solution

The fourth proportional to 30,725.88, 46,014.96 and 17,538.24 is: 26,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.88 : 46,014.96 = 17,538.24 : x
  2. Step 2: Convert to fraction form
    30,725.88/46,014.96 = 17,538.24/x
  3. Step 3: Cross multiply
    30,725.88x = 46,014.96 × 17,538.24
  4. Step 4: Simplify right side
    30,725.88x = 807,021,412.07
  5. Step 5: Solve for x
    x = 807,021,412.07/30,725.88
  6. Step 6: Final answer
    x = 26,265.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.