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Finding the Fourth Proportional to 34,527.88, 51,729.12 and 15,823.48

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Solution

The fourth proportional to 34,527.88, 51,729.12 and 15,823.48 is: 23,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,527.88 : 51,729.12 = 15,823.48 : x
  2. Step 2: Convert to fraction form
    34,527.88/51,729.12 = 15,823.48/x
  3. Step 3: Cross multiply
    34,527.88x = 51,729.12 × 15,823.48
  4. Step 4: Simplify right side
    34,527.88x = 818,534,695.74
  5. Step 5: Solve for x
    x = 818,534,695.74/34,527.88
  6. Step 6: Final answer
    x = 23,706.49

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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.