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Finding the Fourth Proportional to 77,663.94, 116,309.06 and 44,282.80

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Solution

The fourth proportional to 77,663.94, 116,309.06 and 44,282.80 is: 66,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,663.94 : 116,309.06 = 44,282.80 : x
  2. Step 2: Convert to fraction form
    77,663.94/116,309.06 = 44,282.80/x
  3. Step 3: Cross multiply
    77,663.94x = 116,309.06 × 44,282.80
  4. Step 4: Simplify right side
    77,663.94x = 5,150,490,662.10
  5. Step 5: Solve for x
    x = 5,150,490,662.10/77,663.94
  6. Step 6: Final answer
    x = 66,317.66

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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.