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Finding the Fourth Proportional to 34,098, 47,055.96 and 19,194

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Solution

The fourth proportional to 34,098, 47,055.96 and 19,194 is: 26,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098 : 47,055.96 = 19,194 : x
  2. Step 2: Convert to fraction form
    34,098/47,055.96 = 19,194/x
  3. Step 3: Cross multiply
    34,098x = 47,055.96 × 19,194
  4. Step 4: Simplify right side
    34,098x = 903,192,096.24
  5. Step 5: Solve for x
    x = 903,192,096.24/34,098
  6. Step 6: Final answer
    x = 26,488.13

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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.