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Finding the Fourth Proportional to 30,364.65, 45,536.04 and 12,835.84

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Solution

The fourth proportional to 30,364.65, 45,536.04 and 12,835.84 is: 19,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.65 : 45,536.04 = 12,835.84 : x
  2. Step 2: Convert to fraction form
    30,364.65/45,536.04 = 12,835.84/x
  3. Step 3: Cross multiply
    30,364.65x = 45,536.04 × 12,835.84
  4. Step 4: Simplify right side
    30,364.65x = 584,493,323.67
  5. Step 5: Solve for x
    x = 584,493,323.67/30,364.65
  6. Step 6: Final answer
    x = 19,249.14

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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.