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Finding the Fourth Proportional to 49,204.80, 73,756.80 and 24,206.40

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Solution

The fourth proportional to 49,204.80, 73,756.80 and 24,206.40 is: 36,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,204.80 : 73,756.80 = 24,206.40 : x
  2. Step 2: Convert to fraction form
    49,204.80/73,756.80 = 24,206.40/x
  3. Step 3: Cross multiply
    49,204.80x = 73,756.80 × 24,206.40
  4. Step 4: Simplify right side
    49,204.80x = 1,785,386,603.52
  5. Step 5: Solve for x
    x = 1,785,386,603.52/49,204.80
  6. Step 6: Final answer
    x = 36,284.81

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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.