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Finding the Fourth Proportional to 45,057.96, 62,182.70 and 24,914.40

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Solution

The fourth proportional to 45,057.96, 62,182.70 and 24,914.40 is: 34,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,057.96 : 62,182.70 = 24,914.40 : x
  2. Step 2: Convert to fraction form
    45,057.96/62,182.70 = 24,914.40/x
  3. Step 3: Cross multiply
    45,057.96x = 62,182.70 × 24,914.40
  4. Step 4: Simplify right side
    45,057.96x = 1,549,244,536.31
  5. Step 5: Solve for x
    x = 1,549,244,536.31/45,057.96
  6. Step 6: Final answer
    x = 34,383.37

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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.