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Finding the Fourth Proportional to 48,803.40, 73,205.10 and 22,559.40

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Solution

The fourth proportional to 48,803.40, 73,205.10 and 22,559.40 is: 33,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,803.40 : 73,205.10 = 22,559.40 : x
  2. Step 2: Convert to fraction form
    48,803.40/73,205.10 = 22,559.40/x
  3. Step 3: Cross multiply
    48,803.40x = 73,205.10 × 22,559.40
  4. Step 4: Simplify right side
    48,803.40x = 1,651,463,132.94
  5. Step 5: Solve for x
    x = 1,651,463,132.94/48,803.40
  6. Step 6: Final answer
    x = 33,839.10

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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.