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Finding the Fourth Proportional to 34,369, 47,421.54 and 20,222.44

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Solution

The fourth proportional to 34,369, 47,421.54 and 20,222.44 is: 27,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,369 : 47,421.54 = 20,222.44 : x
  2. Step 2: Convert to fraction form
    34,369/47,421.54 = 20,222.44/x
  3. Step 3: Cross multiply
    34,369x = 47,421.54 × 20,222.44
  4. Step 4: Simplify right side
    34,369x = 958,979,247.36
  5. Step 5: Solve for x
    x = 958,979,247.36/34,369
  6. Step 6: Final answer
    x = 27,902.45

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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.