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Finding the Fourth Proportional to 116,309.36, 174,427.32 and 37,406

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Solution

The fourth proportional to 116,309.36, 174,427.32 and 37,406 is: 56,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,309.36 : 174,427.32 = 37,406 : x
  2. Step 2: Convert to fraction form
    116,309.36/174,427.32 = 37,406/x
  3. Step 3: Cross multiply
    116,309.36x = 174,427.32 × 37,406
  4. Step 4: Simplify right side
    116,309.36x = 6,524,628,331.92
  5. Step 5: Solve for x
    x = 6,524,628,331.92/116,309.36
  6. Step 6: Final answer
    x = 56,097.19

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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.