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Finding the Fourth Proportional to 53,651.32, 80,386.02 and 32,831.32

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Solution

The fourth proportional to 53,651.32, 80,386.02 and 32,831.32 is: 49,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,651.32 : 80,386.02 = 32,831.32 : x
  2. Step 2: Convert to fraction form
    53,651.32/80,386.02 = 32,831.32/x
  3. Step 3: Cross multiply
    53,651.32x = 80,386.02 × 32,831.32
  4. Step 4: Simplify right side
    53,651.32x = 2,639,179,146.15
  5. Step 5: Solve for x
    x = 2,639,179,146.15/53,651.32
  6. Step 6: Final answer
    x = 49,191.32

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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.