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Finding the Fourth Proportional to 55,589.90, 76,713.68 and 30,096.08

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Solution

The fourth proportional to 55,589.90, 76,713.68 and 30,096.08 is: 41,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,589.90 : 76,713.68 = 30,096.08 : x
  2. Step 2: Convert to fraction form
    55,589.90/76,713.68 = 30,096.08/x
  3. Step 3: Cross multiply
    55,589.90x = 76,713.68 × 30,096.08
  4. Step 4: Simplify right side
    55,589.90x = 2,308,781,050.37
  5. Step 5: Solve for x
    x = 2,308,781,050.37/55,589.90
  6. Step 6: Final answer
    x = 41,532.38

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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.