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Finding the Fourth Proportional to 51,195.58, 76,740.70 and 19,598.20

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Solution

The fourth proportional to 51,195.58, 76,740.70 and 19,598.20 is: 29,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,195.58 : 76,740.70 = 19,598.20 : x
  2. Step 2: Convert to fraction form
    51,195.58/76,740.70 = 19,598.20/x
  3. Step 3: Cross multiply
    51,195.58x = 76,740.70 × 19,598.20
  4. Step 4: Simplify right side
    51,195.58x = 1,503,979,488.75
  5. Step 5: Solve for x
    x = 1,503,979,488.75/51,195.58
  6. Step 6: Final answer
    x = 29,377.14

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1.5x scale

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.