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Finding the Fourth Proportional to 34,558.42, 51,837.72 and 9,599.82

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Solution

The fourth proportional to 34,558.42, 51,837.72 and 9,599.82 is: 14,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,558.42 : 51,837.72 = 9,599.82 : x
  2. Step 2: Convert to fraction form
    34,558.42/51,837.72 = 9,599.82/x
  3. Step 3: Cross multiply
    34,558.42x = 51,837.72 × 9,599.82
  4. Step 4: Simplify right side
    34,558.42x = 497,632,781.21
  5. Step 5: Solve for x
    x = 497,632,781.21/34,558.42
  6. Step 6: Final answer
    x = 14,399.76

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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.