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Finding the Fourth Proportional to 30,474.51, 45,684.09 and 13,825.48

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Solution

The fourth proportional to 30,474.51, 45,684.09 and 13,825.48 is: 20,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.51 : 45,684.09 = 13,825.48 : x
  2. Step 2: Convert to fraction form
    30,474.51/45,684.09 = 13,825.48/x
  3. Step 3: Cross multiply
    30,474.51x = 45,684.09 × 13,825.48
  4. Step 4: Simplify right side
    30,474.51x = 631,604,472.61
  5. Step 5: Solve for x
    x = 631,604,472.61/30,474.51
  6. Step 6: Final answer
    x = 20,725.66

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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.