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Finding the Fourth Proportional to 85,269.30, 127,831.02 and 32,716.50

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Solution

The fourth proportional to 85,269.30, 127,831.02 and 32,716.50 is: 49,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,269.30 : 127,831.02 = 32,716.50 : x
  2. Step 2: Convert to fraction form
    85,269.30/127,831.02 = 32,716.50/x
  3. Step 3: Cross multiply
    85,269.30x = 127,831.02 × 32,716.50
  4. Step 4: Simplify right side
    85,269.30x = 4,182,183,565.83
  5. Step 5: Solve for x
    x = 4,182,183,565.83/85,269.30
  6. Step 6: Final answer
    x = 49,046.77

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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.