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Finding the Fourth Proportional to 31,026.16, 46,523.12 and 15,224.27

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Solution

The fourth proportional to 31,026.16, 46,523.12 and 15,224.27 is: 22,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,026.16 : 46,523.12 = 15,224.27 : x
  2. Step 2: Convert to fraction form
    31,026.16/46,523.12 = 15,224.27/x
  3. Step 3: Cross multiply
    31,026.16x = 46,523.12 × 15,224.27
  4. Step 4: Simplify right side
    31,026.16x = 708,280,464.00
  5. Step 5: Solve for x
    x = 708,280,464.00/31,026.16
  6. Step 6: Final answer
    x = 22,828.50

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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.