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Finding the Fourth Proportional to 47,651.90, 65,772.53 and 29,736.32

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Solution

The fourth proportional to 47,651.90, 65,772.53 and 29,736.32 is: 41,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,651.90 : 65,772.53 = 29,736.32 : x
  2. Step 2: Convert to fraction form
    47,651.90/65,772.53 = 29,736.32/x
  3. Step 3: Cross multiply
    47,651.90x = 65,772.53 × 29,736.32
  4. Step 4: Simplify right side
    47,651.90x = 1,955,833,126.55
  5. Step 5: Solve for x
    x = 1,955,833,126.55/47,651.90
  6. Step 6: Final answer
    x = 41,044.18

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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.