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Finding the Fourth Proportional to 47,344.98, 65,336 and 26,124.24

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Solution

The fourth proportional to 47,344.98, 65,336 and 26,124.24 is: 36,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344.98 : 65,336 = 26,124.24 : x
  2. Step 2: Convert to fraction form
    47,344.98/65,336 = 26,124.24/x
  3. Step 3: Cross multiply
    47,344.98x = 65,336 × 26,124.24
  4. Step 4: Simplify right side
    47,344.98x = 1,706,853,344.64
  5. Step 5: Solve for x
    x = 1,706,853,344.64/47,344.98
  6. Step 6: Final answer
    x = 36,051.41

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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.