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Finding the Fourth Proportional to 30,684, 46,025.90 and 9,624.21

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Solution

The fourth proportional to 30,684, 46,025.90 and 9,624.21 is: 14,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684 : 46,025.90 = 9,624.21 : x
  2. Step 2: Convert to fraction form
    30,684/46,025.90 = 9,624.21/x
  3. Step 3: Cross multiply
    30,684x = 46,025.90 × 9,624.21
  4. Step 4: Simplify right side
    30,684x = 442,962,927.04
  5. Step 5: Solve for x
    x = 442,962,927.04/30,684
  6. Step 6: Final answer
    x = 14,436.28

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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.