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Finding the Fourth Proportional to 77,457, 116,191.98 and 30,710.28

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Solution

The fourth proportional to 77,457, 116,191.98 and 30,710.28 is: 46,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,457 : 116,191.98 = 30,710.28 : x
  2. Step 2: Convert to fraction form
    77,457/116,191.98 = 30,710.28/x
  3. Step 3: Cross multiply
    77,457x = 116,191.98 × 30,710.28
  4. Step 4: Simplify right side
    77,457x = 3,568,288,239.55
  5. Step 5: Solve for x
    x = 3,568,288,239.55/77,457
  6. Step 6: Final answer
    x = 46,067.99

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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.