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Finding the Fourth Proportional to 101,934.16, 152,831.46 and 51,917.44

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Solution

The fourth proportional to 101,934.16, 152,831.46 and 51,917.44 is: 77,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,934.16 : 152,831.46 = 51,917.44 : x
  2. Step 2: Convert to fraction form
    101,934.16/152,831.46 = 51,917.44/x
  3. Step 3: Cross multiply
    101,934.16x = 152,831.46 × 51,917.44
  4. Step 4: Simplify right side
    101,934.16x = 7,934,618,154.66
  5. Step 5: Solve for x
    x = 7,934,618,154.66/101,934.16
  6. Step 6: Final answer
    x = 77,840.62

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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.