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Finding the Fourth Proportional to 107,969.54, 161,954.30 and 55,345.46

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Solution

The fourth proportional to 107,969.54, 161,954.30 and 55,345.46 is: 83,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,969.54 : 161,954.30 = 55,345.46 : x
  2. Step 2: Convert to fraction form
    107,969.54/161,954.30 = 55,345.46/x
  3. Step 3: Cross multiply
    107,969.54x = 161,954.30 × 55,345.46
  4. Step 4: Simplify right side
    107,969.54x = 8,963,434,561.07
  5. Step 5: Solve for x
    x = 8,963,434,561.07/107,969.54
  6. Step 6: Final answer
    x = 83,018.18

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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.