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Finding the Fourth Proportional to 33,987.76, 50,983.80 and 9,027.40

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Solution

The fourth proportional to 33,987.76, 50,983.80 and 9,027.40 is: 13,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987.76 : 50,983.80 = 9,027.40 : x
  2. Step 2: Convert to fraction form
    33,987.76/50,983.80 = 9,027.40/x
  3. Step 3: Cross multiply
    33,987.76x = 50,983.80 × 9,027.40
  4. Step 4: Simplify right side
    33,987.76x = 460,251,156.12
  5. Step 5: Solve for x
    x = 460,251,156.12/33,987.76
  6. Step 6: Final answer
    x = 13,541.67

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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.