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Finding the Fourth Proportional to 34,358.42, 51,535.11 and 10,978.58

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Solution

The fourth proportional to 34,358.42, 51,535.11 and 10,978.58 is: 16,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,358.42 : 51,535.11 = 10,978.58 : x
  2. Step 2: Convert to fraction form
    34,358.42/51,535.11 = 10,978.58/x
  3. Step 3: Cross multiply
    34,358.42x = 51,535.11 × 10,978.58
  4. Step 4: Simplify right side
    34,358.42x = 565,782,327.94
  5. Step 5: Solve for x
    x = 565,782,327.94/34,358.42
  6. Step 6: Final answer
    x = 16,467.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.