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Finding the Fourth Proportional to 34,133, 47,103.54 and 19,229

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Solution

The fourth proportional to 34,133, 47,103.54 and 19,229 is: 26,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,133 : 47,103.54 = 19,229 : x
  2. Step 2: Convert to fraction form
    34,133/47,103.54 = 19,229/x
  3. Step 3: Cross multiply
    34,133x = 47,103.54 × 19,229
  4. Step 4: Simplify right side
    34,133x = 905,753,970.66
  5. Step 5: Solve for x
    x = 905,753,970.66/34,133
  6. Step 6: Final answer
    x = 26,536.02

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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.