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Finding the Fourth Proportional to 36,287.48, 54,422.94 and 9,994.52

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Solution

The fourth proportional to 36,287.48, 54,422.94 and 9,994.52 is: 14,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,287.48 : 54,422.94 = 9,994.52 : x
  2. Step 2: Convert to fraction form
    36,287.48/54,422.94 = 9,994.52/x
  3. Step 3: Cross multiply
    36,287.48x = 54,422.94 × 9,994.52
  4. Step 4: Simplify right side
    36,287.48x = 543,931,162.29
  5. Step 5: Solve for x
    x = 543,931,162.29/36,287.48
  6. Step 6: Final answer
    x = 14,989.50

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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.