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Finding the Fourth Proportional to 34,154.42, 47,133.30 and 19,048.03

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Solution

The fourth proportional to 34,154.42, 47,133.30 and 19,048.03 is: 26,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154.42 : 47,133.30 = 19,048.03 : x
  2. Step 2: Convert to fraction form
    34,154.42/47,133.30 = 19,048.03/x
  3. Step 3: Cross multiply
    34,154.42x = 47,133.30 × 19,048.03
  4. Step 4: Simplify right side
    34,154.42x = 897,796,512.40
  5. Step 5: Solve for x
    x = 897,796,512.40/34,154.42
  6. Step 6: Final answer
    x = 26,286.39

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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.