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Finding the Fourth Proportional to 31,214.96, 46,821.07 and 9,027.84

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Solution

The fourth proportional to 31,214.96, 46,821.07 and 9,027.84 is: 13,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.96 : 46,821.07 = 9,027.84 : x
  2. Step 2: Convert to fraction form
    31,214.96/46,821.07 = 9,027.84/x
  3. Step 3: Cross multiply
    31,214.96x = 46,821.07 × 9,027.84
  4. Step 4: Simplify right side
    31,214.96x = 422,693,128.59
  5. Step 5: Solve for x
    x = 422,693,128.59/31,214.96
  6. Step 6: Final answer
    x = 13,541.36

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1.5x scale

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.