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Finding the Fourth Proportional to 34,136, 47,108.16 and 19,232

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Solution

The fourth proportional to 34,136, 47,108.16 and 19,232 is: 26,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,136 : 47,108.16 = 19,232 : x
  2. Step 2: Convert to fraction form
    34,136/47,108.16 = 19,232/x
  3. Step 3: Cross multiply
    34,136x = 47,108.16 × 19,232
  4. Step 4: Simplify right side
    34,136x = 905,984,133.12
  5. Step 5: Solve for x
    x = 905,984,133.12/34,136
  6. Step 6: Final answer
    x = 26,540.43

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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.