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Finding the Fourth Proportional to 102,673.68, 154,020.20 and 32,563.32

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Solution

The fourth proportional to 102,673.68, 154,020.20 and 32,563.32 is: 48,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,673.68 : 154,020.20 = 32,563.32 : x
  2. Step 2: Convert to fraction form
    102,673.68/154,020.20 = 32,563.32/x
  3. Step 3: Cross multiply
    102,673.68x = 154,020.20 × 32,563.32
  4. Step 4: Simplify right side
    102,673.68x = 5,015,409,059.06
  5. Step 5: Solve for x
    x = 5,015,409,059.06/102,673.68
  6. Step 6: Final answer
    x = 48,848.05

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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.