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Finding the Fourth Proportional to 30,674.85, 46,011 and 9,614.43

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Solution

The fourth proportional to 30,674.85, 46,011 and 9,614.43 is: 14,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.85 : 46,011 = 9,614.43 : x
  2. Step 2: Convert to fraction form
    30,674.85/46,011 = 9,614.43/x
  3. Step 3: Cross multiply
    30,674.85x = 46,011 × 9,614.43
  4. Step 4: Simplify right side
    30,674.85x = 442,369,538.73
  5. Step 5: Solve for x
    x = 442,369,538.73/30,674.85
  6. Step 6: Final answer
    x = 14,421.25

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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.