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Finding the Fourth Proportional to 34,426.16, 51,639.24 and 11,069

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Solution

The fourth proportional to 34,426.16, 51,639.24 and 11,069 is: 16,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,426.16 : 51,639.24 = 11,069 : x
  2. Step 2: Convert to fraction form
    34,426.16/51,639.24 = 11,069/x
  3. Step 3: Cross multiply
    34,426.16x = 51,639.24 × 11,069
  4. Step 4: Simplify right side
    34,426.16x = 571,594,747.56
  5. Step 5: Solve for x
    x = 571,594,747.56/34,426.16
  6. Step 6: Final answer
    x = 16,603.50

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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.