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Finding the Fourth Proportional to 20,046.59, 30,053.48 and 7,559.50

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Solution

The fourth proportional to 20,046.59, 30,053.48 and 7,559.50 is: 11,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.59 : 30,053.48 = 7,559.50 : x
  2. Step 2: Convert to fraction form
    20,046.59/30,053.48 = 7,559.50/x
  3. Step 3: Cross multiply
    20,046.59x = 30,053.48 × 7,559.50
  4. Step 4: Simplify right side
    20,046.59x = 227,189,352.53
  5. Step 5: Solve for x
    x = 227,189,352.53/20,046.59
  6. Step 6: Final answer
    x = 11,333.07

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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.