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Finding the Fourth Proportional to 54,573.80, 75,311.74 and 30,700.50

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Solution

The fourth proportional to 54,573.80, 75,311.74 and 30,700.50 is: 42,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,573.80 : 75,311.74 = 30,700.50 : x
  2. Step 2: Convert to fraction form
    54,573.80/75,311.74 = 30,700.50/x
  3. Step 3: Cross multiply
    54,573.80x = 75,311.74 × 30,700.50
  4. Step 4: Simplify right side
    54,573.80x = 2,312,107,714.70
  5. Step 5: Solve for x
    x = 2,312,107,714.70/54,573.80
  6. Step 6: Final answer
    x = 42,366.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.