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Finding the Fourth Proportional to 81,153.86, 111,992.88 and 45,345.38

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Solution

The fourth proportional to 81,153.86, 111,992.88 and 45,345.38 is: 62,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,153.86 : 111,992.88 = 45,345.38 : x
  2. Step 2: Convert to fraction form
    81,153.86/111,992.88 = 45,345.38/x
  3. Step 3: Cross multiply
    81,153.86x = 111,992.88 × 45,345.38
  4. Step 4: Simplify right side
    81,153.86x = 5,078,359,140.93
  5. Step 5: Solve for x
    x = 5,078,359,140.93/81,153.86
  6. Step 6: Final answer
    x = 62,576.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.