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Finding the Fourth Proportional to 34,069.68, 51,071.58 and 10,690.56

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Solution

The fourth proportional to 34,069.68, 51,071.58 and 10,690.56 is: 16,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,069.68 : 51,071.58 = 10,690.56 : x
  2. Step 2: Convert to fraction form
    34,069.68/51,071.58 = 10,690.56/x
  3. Step 3: Cross multiply
    34,069.68x = 51,071.58 × 10,690.56
  4. Step 4: Simplify right side
    34,069.68x = 545,983,790.28
  5. Step 5: Solve for x
    x = 545,983,790.28/34,069.68
  6. Step 6: Final answer
    x = 16,025.50

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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.