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Finding the Fourth Proportional to 30,822.88, 46,196.88 and 13,046.67

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Solution

The fourth proportional to 30,822.88, 46,196.88 and 13,046.67 is: 19,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.88 : 46,196.88 = 13,046.67 : x
  2. Step 2: Convert to fraction form
    30,822.88/46,196.88 = 13,046.67/x
  3. Step 3: Cross multiply
    30,822.88x = 46,196.88 × 13,046.67
  4. Step 4: Simplify right side
    30,822.88x = 602,715,472.85
  5. Step 5: Solve for x
    x = 602,715,472.85/30,822.88
  6. Step 6: Final answer
    x = 19,554.16

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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.