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Finding the Fourth Proportional to 34,993.82, 52,482.99 and 10,033.77

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Solution

The fourth proportional to 34,993.82, 52,482.99 and 10,033.77 is: 15,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,993.82 : 52,482.99 = 10,033.77 : x
  2. Step 2: Convert to fraction form
    34,993.82/52,482.99 = 10,033.77/x
  3. Step 3: Cross multiply
    34,993.82x = 52,482.99 × 10,033.77
  4. Step 4: Simplify right side
    34,993.82x = 526,602,428.57
  5. Step 5: Solve for x
    x = 526,602,428.57/34,993.82
  6. Step 6: Final answer
    x = 15,048.44

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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.