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Finding the Fourth Proportional to 47,548.34, 65,617.74 and 26,039

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Solution

The fourth proportional to 47,548.34, 65,617.74 and 26,039 is: 35,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,548.34 : 65,617.74 = 26,039 : x
  2. Step 2: Convert to fraction form
    47,548.34/65,617.74 = 26,039/x
  3. Step 3: Cross multiply
    47,548.34x = 65,617.74 × 26,039
  4. Step 4: Simplify right side
    47,548.34x = 1,708,620,331.86
  5. Step 5: Solve for x
    x = 1,708,620,331.86/47,548.34
  6. Step 6: Final answer
    x = 35,934.38

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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.