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Finding the Fourth Proportional to 47,682, 65,802.60 and 26,463.24

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Solution

The fourth proportional to 47,682, 65,802.60 and 26,463.24 is: 36,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682 : 65,802.60 = 26,463.24 : x
  2. Step 2: Convert to fraction form
    47,682/65,802.60 = 26,463.24/x
  3. Step 3: Cross multiply
    47,682x = 65,802.60 × 26,463.24
  4. Step 4: Simplify right side
    47,682x = 1,741,349,996.42
  5. Step 5: Solve for x
    x = 1,741,349,996.42/47,682
  6. Step 6: Final answer
    x = 36,520.07

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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.