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Finding the Fourth Proportional to 45,057.44, 62,178.76 and 24,914.76

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Solution

The fourth proportional to 45,057.44, 62,178.76 and 24,914.76 is: 34,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,057.44 : 62,178.76 = 24,914.76 : x
  2. Step 2: Convert to fraction form
    45,057.44/62,178.76 = 24,914.76/x
  3. Step 3: Cross multiply
    45,057.44x = 62,178.76 × 24,914.76
  4. Step 4: Simplify right side
    45,057.44x = 1,549,168,882.50
  5. Step 5: Solve for x
    x = 1,549,168,882.50/45,057.44
  6. Step 6: Final answer
    x = 34,382.09

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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.