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Finding the Fourth Proportional to 53,536.64, 73,915.24 and 34,425

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Solution

The fourth proportional to 53,536.64, 73,915.24 and 34,425 is: 47,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,536.64 : 73,915.24 = 34,425 : x
  2. Step 2: Convert to fraction form
    53,536.64/73,915.24 = 34,425/x
  3. Step 3: Cross multiply
    53,536.64x = 73,915.24 × 34,425
  4. Step 4: Simplify right side
    53,536.64x = 2,544,532,137
  5. Step 5: Solve for x
    x = 2,544,532,137/53,536.64
  6. Step 6: Final answer
    x = 47,528.80

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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.