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Finding the Fourth Proportional to 54,763.63, 82,298.80 and 32,580.43

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Solution

The fourth proportional to 54,763.63, 82,298.80 and 32,580.43 is: 48,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,763.63 : 82,298.80 = 32,580.43 : x
  2. Step 2: Convert to fraction form
    54,763.63/82,298.80 = 32,580.43/x
  3. Step 3: Cross multiply
    54,763.63x = 82,298.80 × 32,580.43
  4. Step 4: Simplify right side
    54,763.63x = 2,681,330,127.46
  5. Step 5: Solve for x
    x = 2,681,330,127.46/54,763.63
  6. Step 6: Final answer
    x = 48,961.88

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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.