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Finding the Fourth Proportional to 71,358.64, 106,892.63 and 33,804.88

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Solution

The fourth proportional to 71,358.64, 106,892.63 and 33,804.88 is: 50,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,358.64 : 106,892.63 = 33,804.88 : x
  2. Step 2: Convert to fraction form
    71,358.64/106,892.63 = 33,804.88/x
  3. Step 3: Cross multiply
    71,358.64x = 106,892.63 × 33,804.88
  4. Step 4: Simplify right side
    71,358.64x = 3,613,492,220.55
  5. Step 5: Solve for x
    x = 3,613,492,220.55/71,358.64
  6. Step 6: Final answer
    x = 50,638.47

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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.