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Finding the Fourth Proportional to 54,492.70, 75,202.14 and 30,619.30

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Solution

The fourth proportional to 54,492.70, 75,202.14 and 30,619.30 is: 42,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,492.70 : 75,202.14 = 30,619.30 : x
  2. Step 2: Convert to fraction form
    54,492.70/75,202.14 = 30,619.30/x
  3. Step 3: Cross multiply
    54,492.70x = 75,202.14 × 30,619.30
  4. Step 4: Simplify right side
    54,492.70x = 2,302,636,885.30
  5. Step 5: Solve for x
    x = 2,302,636,885.30/54,492.70
  6. Step 6: Final answer
    x = 42,255.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.