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Finding the Fourth Proportional to 107,365.84, 161,061.56 and 51,922

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Solution

The fourth proportional to 107,365.84, 161,061.56 and 51,922 is: 77,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,365.84 : 161,061.56 = 51,922 : x
  2. Step 2: Convert to fraction form
    107,365.84/161,061.56 = 51,922/x
  3. Step 3: Cross multiply
    107,365.84x = 161,061.56 × 51,922
  4. Step 4: Simplify right side
    107,365.84x = 8,362,638,318.32
  5. Step 5: Solve for x
    x = 8,362,638,318.32/107,365.84
  6. Step 6: Final answer
    x = 77,889.19

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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.