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Finding the Fourth Proportional to 34,407.88, 47,471.64 and 20,064.46

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Solution

The fourth proportional to 34,407.88, 47,471.64 and 20,064.46 is: 27,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,407.88 : 47,471.64 = 20,064.46 : x
  2. Step 2: Convert to fraction form
    34,407.88/47,471.64 = 20,064.46/x
  3. Step 3: Cross multiply
    34,407.88x = 47,471.64 × 20,064.46
  4. Step 4: Simplify right side
    34,407.88x = 952,492,821.91
  5. Step 5: Solve for x
    x = 952,492,821.91/34,407.88
  6. Step 6: Final answer
    x = 27,682.40

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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.