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Finding the Fourth Proportional to 102,831.45, 154,214.16 and 32,694.36

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Solution

The fourth proportional to 102,831.45, 154,214.16 and 32,694.36 is: 49,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,831.45 : 154,214.16 = 32,694.36 : x
  2. Step 2: Convert to fraction form
    102,831.45/154,214.16 = 32,694.36/x
  3. Step 3: Cross multiply
    102,831.45x = 154,214.16 × 32,694.36
  4. Step 4: Simplify right side
    102,831.45x = 5,041,933,264.14
  5. Step 5: Solve for x
    x = 5,041,933,264.14/102,831.45
  6. Step 6: Final answer
    x = 49,031.04

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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.