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Finding the Fourth Proportional to 31,027.84, 46,543.20 and 8,842.72

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Solution

The fourth proportional to 31,027.84, 46,543.20 and 8,842.72 is: 13,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,027.84 : 46,543.20 = 8,842.72 : x
  2. Step 2: Convert to fraction form
    31,027.84/46,543.20 = 8,842.72/x
  3. Step 3: Cross multiply
    31,027.84x = 46,543.20 × 8,842.72
  4. Step 4: Simplify right side
    31,027.84x = 411,568,485.50
  5. Step 5: Solve for x
    x = 411,568,485.50/31,027.84
  6. Step 6: Final answer
    x = 13,264.49

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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.