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Finding the Fourth Proportional to 102,927.20, 154,402.80 and 32,813.60

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Solution

The fourth proportional to 102,927.20, 154,402.80 and 32,813.60 is: 49,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,927.20 : 154,402.80 = 32,813.60 : x
  2. Step 2: Convert to fraction form
    102,927.20/154,402.80 = 32,813.60/x
  3. Step 3: Cross multiply
    102,927.20x = 154,402.80 × 32,813.60
  4. Step 4: Simplify right side
    102,927.20x = 5,066,511,718.08
  5. Step 5: Solve for x
    x = 5,066,511,718.08/102,927.20
  6. Step 6: Final answer
    x = 49,224.23

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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.