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Finding the Fourth Proportional to 34,047.63, 51,071.46 and 10,675.89

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Solution

The fourth proportional to 34,047.63, 51,071.46 and 10,675.89 is: 16,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047.63 : 51,071.46 = 10,675.89 : x
  2. Step 2: Convert to fraction form
    34,047.63/51,071.46 = 10,675.89/x
  3. Step 3: Cross multiply
    34,047.63x = 51,071.46 × 10,675.89
  4. Step 4: Simplify right side
    34,047.63x = 545,233,289.10
  5. Step 5: Solve for x
    x = 545,233,289.10/34,047.63
  6. Step 6: Final answer
    x = 16,013.84

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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.