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Finding the Fourth Proportional to 76,605.42, 114,922.23 and 34,486.53

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Solution

The fourth proportional to 76,605.42, 114,922.23 and 34,486.53 is: 51,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,605.42 : 114,922.23 = 34,486.53 : x
  2. Step 2: Convert to fraction form
    76,605.42/114,922.23 = 34,486.53/x
  3. Step 3: Cross multiply
    76,605.42x = 114,922.23 × 34,486.53
  4. Step 4: Simplify right side
    76,605.42x = 3,963,268,932.56
  5. Step 5: Solve for x
    x = 3,963,268,932.56/76,605.42
  6. Step 6: Final answer
    x = 51,736.14

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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.