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Finding the Fourth Proportional to 77,486.41, 116,229.63 and 30,739.29

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Solution

The fourth proportional to 77,486.41, 116,229.63 and 30,739.29 is: 46,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486.41 : 116,229.63 = 30,739.29 : x
  2. Step 2: Convert to fraction form
    77,486.41/116,229.63 = 30,739.29/x
  3. Step 3: Cross multiply
    77,486.41x = 116,229.63 × 30,739.29
  4. Step 4: Simplify right side
    77,486.41x = 3,572,816,050.11
  5. Step 5: Solve for x
    x = 3,572,816,050.11/77,486.41
  6. Step 6: Final answer
    x = 46,108.94

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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.