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Finding the Fourth Proportional to 65,711.80, 98,454.30 and 30,579.40

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Solution

The fourth proportional to 65,711.80, 98,454.30 and 30,579.40 is: 45,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,711.80 : 98,454.30 = 30,579.40 : x
  2. Step 2: Convert to fraction form
    65,711.80/98,454.30 = 30,579.40/x
  3. Step 3: Cross multiply
    65,711.80x = 98,454.30 × 30,579.40
  4. Step 4: Simplify right side
    65,711.80x = 3,010,673,421.42
  5. Step 5: Solve for x
    x = 3,010,673,421.42/65,711.80
  6. Step 6: Final answer
    x = 45,816.33

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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.