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Finding the Fourth Proportional to 30,564.69, 45,835.52 and 12,796.57

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Solution

The fourth proportional to 30,564.69, 45,835.52 and 12,796.57 is: 19,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.69 : 45,835.52 = 12,796.57 : x
  2. Step 2: Convert to fraction form
    30,564.69/45,835.52 = 12,796.57/x
  3. Step 3: Cross multiply
    30,564.69x = 45,835.52 × 12,796.57
  4. Step 4: Simplify right side
    30,564.69x = 586,537,433.48
  5. Step 5: Solve for x
    x = 586,537,433.48/30,564.69
  6. Step 6: Final answer
    x = 19,190.04

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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.