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Finding the Fourth Proportional to 67,820.56, 101,731.70 and 46,754.97

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Solution

The fourth proportional to 67,820.56, 101,731.70 and 46,754.97 is: 70,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,820.56 : 101,731.70 = 46,754.97 : x
  2. Step 2: Convert to fraction form
    67,820.56/101,731.70 = 46,754.97/x
  3. Step 3: Cross multiply
    67,820.56x = 101,731.70 × 46,754.97
  4. Step 4: Simplify right side
    67,820.56x = 4,756,462,278.29
  5. Step 5: Solve for x
    x = 4,756,462,278.29/67,820.56
  6. Step 6: Final answer
    x = 70,133.04

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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.