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Finding the Fourth Proportional to 34,106.64, 51,164.80 and 10,725.16

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Solution

The fourth proportional to 34,106.64, 51,164.80 and 10,725.16 is: 16,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,106.64 : 51,164.80 = 10,725.16 : x
  2. Step 2: Convert to fraction form
    34,106.64/51,164.80 = 10,725.16/x
  3. Step 3: Cross multiply
    34,106.64x = 51,164.80 × 10,725.16
  4. Step 4: Simplify right side
    34,106.64x = 548,750,666.37
  5. Step 5: Solve for x
    x = 548,750,666.37/34,106.64
  6. Step 6: Final answer
    x = 16,089.26

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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.