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Finding the Fourth Proportional to 107,428.68, 161,138.16 and 37,313.46

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Solution

The fourth proportional to 107,428.68, 161,138.16 and 37,313.46 is: 55,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,428.68 : 161,138.16 = 37,313.46 : x
  2. Step 2: Convert to fraction form
    107,428.68/161,138.16 = 37,313.46/x
  3. Step 3: Cross multiply
    107,428.68x = 161,138.16 × 37,313.46
  4. Step 4: Simplify right side
    107,428.68x = 6,012,622,287.63
  5. Step 5: Solve for x
    x = 6,012,622,287.63/107,428.68
  6. Step 6: Final answer
    x = 55,968.50

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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.