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Finding the Fourth Proportional to 34,321, 47,330.34 and 22,393.48

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Solution

The fourth proportional to 34,321, 47,330.34 and 22,393.48 is: 30,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,321 : 47,330.34 = 22,393.48 : x
  2. Step 2: Convert to fraction form
    34,321/47,330.34 = 22,393.48/x
  3. Step 3: Cross multiply
    34,321x = 47,330.34 × 22,393.48
  4. Step 4: Simplify right side
    34,321x = 1,059,891,022.18
  5. Step 5: Solve for x
    x = 1,059,891,022.18/34,321
  6. Step 6: Final answer
    x = 30,881.71

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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.