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Finding the Fourth Proportional to 41,225.04, 61,838.64 and 11,646

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Solution

The fourth proportional to 41,225.04, 61,838.64 and 11,646 is: 17,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,225.04 : 61,838.64 = 11,646 : x
  2. Step 2: Convert to fraction form
    41,225.04/61,838.64 = 11,646/x
  3. Step 3: Cross multiply
    41,225.04x = 61,838.64 × 11,646
  4. Step 4: Simplify right side
    41,225.04x = 720,172,801.44
  5. Step 5: Solve for x
    x = 720,172,801.44/41,225.04
  6. Step 6: Final answer
    x = 17,469.31

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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.