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Finding the Fourth Proportional to 34,729.03, 47,923.22 and 19,623

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Solution

The fourth proportional to 34,729.03, 47,923.22 and 19,623 is: 27,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,729.03 : 47,923.22 = 19,623 : x
  2. Step 2: Convert to fraction form
    34,729.03/47,923.22 = 19,623/x
  3. Step 3: Cross multiply
    34,729.03x = 47,923.22 × 19,623
  4. Step 4: Simplify right side
    34,729.03x = 940,397,247.95
  5. Step 5: Solve for x
    x = 940,397,247.95/34,729.03
  6. Step 6: Final answer
    x = 27,078.13

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1.5x scale

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.