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Finding the Fourth Proportional to 53,523.66, 73,862.66 and 29,651.88

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Solution

The fourth proportional to 53,523.66, 73,862.66 and 29,651.88 is: 40,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,523.66 : 73,862.66 = 29,651.88 : x
  2. Step 2: Convert to fraction form
    53,523.66/73,862.66 = 29,651.88/x
  3. Step 3: Cross multiply
    53,523.66x = 73,862.66 × 29,651.88
  4. Step 4: Simplify right side
    53,523.66x = 2,190,166,915.12
  5. Step 5: Solve for x
    x = 2,190,166,915.12/53,523.66
  6. Step 6: Final answer
    x = 40,919.60

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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.