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Finding the Fourth Proportional to 92,274.46, 138,362.47 and 47,790.88

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Solution

The fourth proportional to 92,274.46, 138,362.47 and 47,790.88 is: 71,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,274.46 : 138,362.47 = 47,790.88 : x
  2. Step 2: Convert to fraction form
    92,274.46/138,362.47 = 47,790.88/x
  3. Step 3: Cross multiply
    92,274.46x = 138,362.47 × 47,790.88
  4. Step 4: Simplify right side
    92,274.46x = 6,612,463,734.89
  5. Step 5: Solve for x
    x = 6,612,463,734.89/92,274.46
  6. Step 6: Final answer
    x = 71,660.82

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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.