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Finding the Fourth Proportional to 77,661.86, 116,418.96 and 49,502.86

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Solution

The fourth proportional to 77,661.86, 116,418.96 and 49,502.86 is: 74,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,661.86 : 116,418.96 = 49,502.86 : x
  2. Step 2: Convert to fraction form
    77,661.86/116,418.96 = 49,502.86/x
  3. Step 3: Cross multiply
    77,661.86x = 116,418.96 × 49,502.86
  4. Step 4: Simplify right side
    77,661.86x = 5,763,071,478.23
  5. Step 5: Solve for x
    x = 5,763,071,478.23/77,661.86
  6. Step 6: Final answer
    x = 74,207.23

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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.