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Finding the Fourth Proportional to 30,537.65, 45,789.87 and 9,471.98

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Solution

The fourth proportional to 30,537.65, 45,789.87 and 9,471.98 is: 14,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.65 : 45,789.87 = 9,471.98 : x
  2. Step 2: Convert to fraction form
    30,537.65/45,789.87 = 9,471.98/x
  3. Step 3: Cross multiply
    30,537.65x = 45,789.87 × 9,471.98
  4. Step 4: Simplify right side
    30,537.65x = 433,720,732.84
  5. Step 5: Solve for x
    x = 433,720,732.84/30,537.65
  6. Step 6: Final answer
    x = 14,202.82

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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.