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Finding the Fourth Proportional to 53,396.64, 73,717.36 and 35,516

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Solution

The fourth proportional to 53,396.64, 73,717.36 and 35,516 is: 49,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,396.64 : 73,717.36 = 35,516 : x
  2. Step 2: Convert to fraction form
    53,396.64/73,717.36 = 35,516/x
  3. Step 3: Cross multiply
    53,396.64x = 73,717.36 × 35,516
  4. Step 4: Simplify right side
    53,396.64x = 2,618,145,757.76
  5. Step 5: Solve for x
    x = 2,618,145,757.76/53,396.64
  6. Step 6: Final answer
    x = 49,032.03

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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.