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Finding the Fourth Proportional to 54,651.42, 75,762.89 and 51,657.98

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Solution

The fourth proportional to 54,651.42, 75,762.89 and 51,657.98 is: 71,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,651.42 : 75,762.89 = 51,657.98 : x
  2. Step 2: Convert to fraction form
    54,651.42/75,762.89 = 51,657.98/x
  3. Step 3: Cross multiply
    54,651.42x = 75,762.89 × 51,657.98
  4. Step 4: Simplify right side
    54,651.42x = 3,913,757,219.26
  5. Step 5: Solve for x
    x = 3,913,757,219.26/54,651.42
  6. Step 6: Final answer
    x = 71,613.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.