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Finding the Fourth Proportional to 77,471.10, 116,206.41 and 43,721.81

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Solution

The fourth proportional to 77,471.10, 116,206.41 and 43,721.81 is: 65,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,471.10 : 116,206.41 = 43,721.81 : x
  2. Step 2: Convert to fraction form
    77,471.10/116,206.41 = 43,721.81/x
  3. Step 3: Cross multiply
    77,471.10x = 116,206.41 × 43,721.81
  4. Step 4: Simplify right side
    77,471.10x = 5,080,754,597.50
  5. Step 5: Solve for x
    x = 5,080,754,597.50/77,471.10
  6. Step 6: Final answer
    x = 65,582.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.