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Finding the Fourth Proportional to 29,817.90, 41,152.59 and 19,238.31

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Solution

The fourth proportional to 29,817.90, 41,152.59 and 19,238.31 is: 26,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,817.90 : 41,152.59 = 19,238.31 : x
  2. Step 2: Convert to fraction form
    29,817.90/41,152.59 = 19,238.31/x
  3. Step 3: Cross multiply
    29,817.90x = 41,152.59 × 19,238.31
  4. Step 4: Simplify right side
    29,817.90x = 791,706,283.72
  5. Step 5: Solve for x
    x = 791,706,283.72/29,817.90
  6. Step 6: Final answer
    x = 26,551.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.