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Finding the Fourth Proportional to 30,535.65, 45,786.87 and 9,469.98

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Solution

The fourth proportional to 30,535.65, 45,786.87 and 9,469.98 is: 14,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.65 : 45,786.87 = 9,469.98 : x
  2. Step 2: Convert to fraction form
    30,535.65/45,786.87 = 9,469.98/x
  3. Step 3: Cross multiply
    30,535.65x = 45,786.87 × 9,469.98
  4. Step 4: Simplify right side
    30,535.65x = 433,600,743.16
  5. Step 5: Solve for x
    x = 433,600,743.16/30,535.65
  6. Step 6: Final answer
    x = 14,199.82

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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.