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Finding the Fourth Proportional to 30,685, 46,028.06 and 9,624.57

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Solution

The fourth proportional to 30,685, 46,028.06 and 9,624.57 is: 14,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685 : 46,028.06 = 9,624.57 : x
  2. Step 2: Convert to fraction form
    30,685/46,028.06 = 9,624.57/x
  3. Step 3: Cross multiply
    30,685x = 46,028.06 × 9,624.57
  4. Step 4: Simplify right side
    30,685x = 443,000,285.43
  5. Step 5: Solve for x
    x = 443,000,285.43/30,685
  6. Step 6: Final answer
    x = 14,437.03

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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.