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Finding the Fourth Proportional to 137,535.91, 206,281.72 and 37,672.75

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Solution

The fourth proportional to 137,535.91, 206,281.72 and 37,672.75 is: 56,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,535.91 : 206,281.72 = 37,672.75 : x
  2. Step 2: Convert to fraction form
    137,535.91/206,281.72 = 37,672.75/x
  3. Step 3: Cross multiply
    137,535.91x = 206,281.72 × 37,672.75
  4. Step 4: Simplify right side
    137,535.91x = 7,771,198,811.74
  5. Step 5: Solve for x
    x = 7,771,198,811.74/137,535.91
  6. Step 6: Final answer
    x = 56,503.05

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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.