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Finding the Fourth Proportional to 47,109.16, 65,014.50 and 28,245.88

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Solution

The fourth proportional to 47,109.16, 65,014.50 and 28,245.88 is: 38,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,109.16 : 65,014.50 = 28,245.88 : x
  2. Step 2: Convert to fraction form
    47,109.16/65,014.50 = 28,245.88/x
  3. Step 3: Cross multiply
    47,109.16x = 65,014.50 × 28,245.88
  4. Step 4: Simplify right side
    47,109.16x = 1,836,391,765.26
  5. Step 5: Solve for x
    x = 1,836,391,765.26/47,109.16
  6. Step 6: Final answer
    x = 38,981.63

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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.