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Finding the Fourth Proportional to 45,956, 63,445.20 and 34,758.56

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Solution

The fourth proportional to 45,956, 63,445.20 and 34,758.56 is: 47,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,956 : 63,445.20 = 34,758.56 : x
  2. Step 2: Convert to fraction form
    45,956/63,445.20 = 34,758.56/x
  3. Step 3: Cross multiply
    45,956x = 63,445.20 × 34,758.56
  4. Step 4: Simplify right side
    45,956x = 2,205,263,790.91
  5. Step 5: Solve for x
    x = 2,205,263,790.91/45,956
  6. Step 6: Final answer
    x = 47,986.42

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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.