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Finding the Fourth Proportional to 34,319.50, 51,485.73 and 15,851.50

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Solution

The fourth proportional to 34,319.50, 51,485.73 and 15,851.50 is: 23,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319.50 : 51,485.73 = 15,851.50 : x
  2. Step 2: Convert to fraction form
    34,319.50/51,485.73 = 15,851.50/x
  3. Step 3: Cross multiply
    34,319.50x = 51,485.73 × 15,851.50
  4. Step 4: Simplify right side
    34,319.50x = 816,126,049.10
  5. Step 5: Solve for x
    x = 816,126,049.10/34,319.50
  6. Step 6: Final answer
    x = 23,780.24

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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.