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Finding the Fourth Proportional to 67,756.17, 101,696.64 and 34,500

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Solution

The fourth proportional to 67,756.17, 101,696.64 and 34,500 is: 51,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,756.17 : 101,696.64 = 34,500 : x
  2. Step 2: Convert to fraction form
    67,756.17/101,696.64 = 34,500/x
  3. Step 3: Cross multiply
    67,756.17x = 101,696.64 × 34,500
  4. Step 4: Simplify right side
    67,756.17x = 3,508,534,080
  5. Step 5: Solve for x
    x = 3,508,534,080/67,756.17
  6. Step 6: Final answer
    x = 51,781.77

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