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Finding the Fourth Proportional to 71,792.64, 107,735.04 and 34,836.48

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Solution

The fourth proportional to 71,792.64, 107,735.04 and 34,836.48 is: 52,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,792.64 : 107,735.04 = 34,836.48 : x
  2. Step 2: Convert to fraction form
    71,792.64/107,735.04 = 34,836.48/x
  3. Step 3: Cross multiply
    71,792.64x = 107,735.04 × 34,836.48
  4. Step 4: Simplify right side
    71,792.64x = 3,753,109,566.26
  5. Step 5: Solve for x
    x = 3,753,109,566.26/71,792.64
  6. Step 6: Final answer
    x = 52,277.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.