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Finding the Fourth Proportional to 32,766, 49,136.51 and 11,702.12

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Solution

The fourth proportional to 32,766, 49,136.51 and 11,702.12 is: 17,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,766 : 49,136.51 = 11,702.12 : x
  2. Step 2: Convert to fraction form
    32,766/49,136.51 = 11,702.12/x
  3. Step 3: Cross multiply
    32,766x = 49,136.51 × 11,702.12
  4. Step 4: Simplify right side
    32,766x = 575,001,032.21
  5. Step 5: Solve for x
    x = 575,001,032.21/32,766
  6. Step 6: Final answer
    x = 17,548.71

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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.