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Finding the Fourth Proportional to 69,831.96, 96,368.04 and 38,000.80

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Solution

The fourth proportional to 69,831.96, 96,368.04 and 38,000.80 is: 52,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,831.96 : 96,368.04 = 38,000.80 : x
  2. Step 2: Convert to fraction form
    69,831.96/96,368.04 = 38,000.80/x
  3. Step 3: Cross multiply
    69,831.96x = 96,368.04 × 38,000.80
  4. Step 4: Simplify right side
    69,831.96x = 3,662,062,614.43
  5. Step 5: Solve for x
    x = 3,662,062,614.43/69,831.96
  6. Step 6: Final answer
    x = 52,441.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.