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Finding the Fourth Proportional to 34,154.74, 47,133.45 and 19,047.42

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Solution

The fourth proportional to 34,154.74, 47,133.45 and 19,047.42 is: 26,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154.74 : 47,133.45 = 19,047.42 : x
  2. Step 2: Convert to fraction form
    34,154.74/47,133.45 = 19,047.42/x
  3. Step 3: Cross multiply
    34,154.74x = 47,133.45 × 19,047.42
  4. Step 4: Simplify right side
    34,154.74x = 897,770,529.82
  5. Step 5: Solve for x
    x = 897,770,529.82/34,154.74
  6. Step 6: Final answer
    x = 26,285.39

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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.