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Finding the Fourth Proportional to 31,528.35, 43,509.13 and 18,100.48

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Solution

The fourth proportional to 31,528.35, 43,509.13 and 18,100.48 is: 24,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,528.35 : 43,509.13 = 18,100.48 : x
  2. Step 2: Convert to fraction form
    31,528.35/43,509.13 = 18,100.48/x
  3. Step 3: Cross multiply
    31,528.35x = 43,509.13 × 18,100.48
  4. Step 4: Simplify right side
    31,528.35x = 787,536,137.38
  5. Step 5: Solve for x
    x = 787,536,137.38/31,528.35
  6. Step 6: Final answer
    x = 24,978.67

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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.