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Finding the Fourth Proportional to 30,182.74, 45,321.50 and 25,563.31

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Solution

The fourth proportional to 30,182.74, 45,321.50 and 25,563.31 is: 38,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.74 : 45,321.50 = 25,563.31 : x
  2. Step 2: Convert to fraction form
    30,182.74/45,321.50 = 25,563.31/x
  3. Step 3: Cross multiply
    30,182.74x = 45,321.50 × 25,563.31
  4. Step 4: Simplify right side
    30,182.74x = 1,158,567,313.04
  5. Step 5: Solve for x
    x = 1,158,567,313.04/30,182.74
  6. Step 6: Final answer
    x = 38,385.10

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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.