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Finding the Fourth Proportional to 53,180.98, 73,393.22 and 30,527.31

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Solution

The fourth proportional to 53,180.98, 73,393.22 and 30,527.31 is: 42,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,180.98 : 73,393.22 = 30,527.31 : x
  2. Step 2: Convert to fraction form
    53,180.98/73,393.22 = 30,527.31/x
  3. Step 3: Cross multiply
    53,180.98x = 73,393.22 × 30,527.31
  4. Step 4: Simplify right side
    53,180.98x = 2,240,497,265.45
  5. Step 5: Solve for x
    x = 2,240,497,265.45/53,180.98
  6. Step 6: Final answer
    x = 42,129.67

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