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Finding the Fourth Proportional to 76,122, 114,151.77 and 22,795.19

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Solution

The fourth proportional to 76,122, 114,151.77 and 22,795.19 is: 34,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,122 : 114,151.77 = 22,795.19 : x
  2. Step 2: Convert to fraction form
    76,122/114,151.77 = 22,795.19/x
  3. Step 3: Cross multiply
    76,122x = 114,151.77 × 22,795.19
  4. Step 4: Simplify right side
    76,122x = 2,602,110,715.23
  5. Step 5: Solve for x
    x = 2,602,110,715.23/76,122
  6. Step 6: Final answer
    x = 34,183.43

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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.