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Finding the Fourth Proportional to 53,287.64, 73,536.52 and 29,414.30

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Solution

The fourth proportional to 53,287.64, 73,536.52 and 29,414.30 is: 40,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,287.64 : 73,536.52 = 29,414.30 : x
  2. Step 2: Convert to fraction form
    53,287.64/73,536.52 = 29,414.30/x
  3. Step 3: Cross multiply
    53,287.64x = 73,536.52 × 29,414.30
  4. Step 4: Simplify right side
    53,287.64x = 2,163,025,260.24
  5. Step 5: Solve for x
    x = 2,163,025,260.24/53,287.64
  6. Step 6: Final answer
    x = 40,591.50

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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.