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Finding the Fourth Proportional to 107,785.44, 161,622.72 and 57,907.56

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Solution

The fourth proportional to 107,785.44, 161,622.72 and 57,907.56 is: 86,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,785.44 : 161,622.72 = 57,907.56 : x
  2. Step 2: Convert to fraction form
    107,785.44/161,622.72 = 57,907.56/x
  3. Step 3: Cross multiply
    107,785.44x = 161,622.72 × 57,907.56
  4. Step 4: Simplify right side
    107,785.44x = 9,359,177,355.76
  5. Step 5: Solve for x
    x = 9,359,177,355.76/107,785.44
  6. Step 6: Final answer
    x = 86,831.55

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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.