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Finding the Fourth Proportional to 71,312.94, 106,867.35 and 40,082.58

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Solution

The fourth proportional to 71,312.94, 106,867.35 and 40,082.58 is: 60,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312.94 : 106,867.35 = 40,082.58 : x
  2. Step 2: Convert to fraction form
    71,312.94/106,867.35 = 40,082.58/x
  3. Step 3: Cross multiply
    71,312.94x = 106,867.35 × 40,082.58
  4. Step 4: Simplify right side
    71,312.94x = 4,283,519,105.76
  5. Step 5: Solve for x
    x = 4,283,519,105.76/71,312.94
  6. Step 6: Final answer
    x = 60,066.51

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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.