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Finding the Fourth Proportional to 30,364.90, 45,536.40 and 12,836.09

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Solution

The fourth proportional to 30,364.90, 45,536.40 and 12,836.09 is: 19,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.90 : 45,536.40 = 12,836.09 : x
  2. Step 2: Convert to fraction form
    30,364.90/45,536.40 = 12,836.09/x
  3. Step 3: Cross multiply
    30,364.90x = 45,536.40 × 12,836.09
  4. Step 4: Simplify right side
    30,364.90x = 584,509,442.52
  5. Step 5: Solve for x
    x = 584,509,442.52/30,364.90
  6. Step 6: Final answer
    x = 19,249.51

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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.