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Finding the Fourth Proportional to 47,224.32, 65,170 and 26,004

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Solution

The fourth proportional to 47,224.32, 65,170 and 26,004 is: 35,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,224.32 : 65,170 = 26,004 : x
  2. Step 2: Convert to fraction form
    47,224.32/65,170 = 26,004/x
  3. Step 3: Cross multiply
    47,224.32x = 65,170 × 26,004
  4. Step 4: Simplify right side
    47,224.32x = 1,694,680,680
  5. Step 5: Solve for x
    x = 1,694,680,680/47,224.32
  6. Step 6: Final answer
    x = 35,885.76

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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.