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Finding the Fourth Proportional to 47,662.28, 65,775.30 and 26,153

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Solution

The fourth proportional to 47,662.28, 65,775.30 and 26,153 is: 36,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.28 : 65,775.30 = 26,153 : x
  2. Step 2: Convert to fraction form
    47,662.28/65,775.30 = 26,153/x
  3. Step 3: Cross multiply
    47,662.28x = 65,775.30 × 26,153
  4. Step 4: Simplify right side
    47,662.28x = 1,720,221,420.90
  5. Step 5: Solve for x
    x = 1,720,221,420.90/47,662.28
  6. Step 6: Final answer
    x = 36,091.88

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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.