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Finding the Fourth Proportional to 30,761.08, 46,112.46 and 9,970

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Solution

The fourth proportional to 30,761.08, 46,112.46 and 9,970 is: 14,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.08 : 46,112.46 = 9,970 : x
  2. Step 2: Convert to fraction form
    30,761.08/46,112.46 = 9,970/x
  3. Step 3: Cross multiply
    30,761.08x = 46,112.46 × 9,970
  4. Step 4: Simplify right side
    30,761.08x = 459,741,226.20
  5. Step 5: Solve for x
    x = 459,741,226.20/30,761.08
  6. Step 6: Final answer
    x = 14,945.55

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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.