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Finding the Fourth Proportional to 102,463.11, 153,763.74 and 35,903.84

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Solution

The fourth proportional to 102,463.11, 153,763.74 and 35,903.84 is: 53,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,463.11 : 153,763.74 = 35,903.84 : x
  2. Step 2: Convert to fraction form
    102,463.11/153,763.74 = 35,903.84/x
  3. Step 3: Cross multiply
    102,463.11x = 153,763.74 × 35,903.84
  4. Step 4: Simplify right side
    102,463.11x = 5,520,707,949.94
  5. Step 5: Solve for x
    x = 5,520,707,949.94/102,463.11
  6. Step 6: Final answer
    x = 53,879.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.