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Finding the Fourth Proportional to 34,052.64, 51,093.65 and 12,999.00

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Solution

The fourth proportional to 34,052.64, 51,093.65 and 12,999.00 is: 19,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,052.64 : 51,093.65 = 12,999.00 : x
  2. Step 2: Convert to fraction form
    34,052.64/51,093.65 = 12,999.00/x
  3. Step 3: Cross multiply
    34,052.64x = 51,093.65 × 12,999.00
  4. Step 4: Simplify right side
    34,052.64x = 664,166,580.45
  5. Step 5: Solve for x
    x = 664,166,580.45/34,052.64
  6. Step 6: Final answer
    x = 19,504.11

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Why These Related Problems?

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