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Finding the Fourth Proportional to 31,013.01, 46,525.65 and 8,827.26

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Solution

The fourth proportional to 31,013.01, 46,525.65 and 8,827.26 is: 13,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013.01 : 46,525.65 = 8,827.26 : x
  2. Step 2: Convert to fraction form
    31,013.01/46,525.65 = 8,827.26/x
  3. Step 3: Cross multiply
    31,013.01x = 46,525.65 × 8,827.26
  4. Step 4: Simplify right side
    31,013.01x = 410,694,009.22
  5. Step 5: Solve for x
    x = 410,694,009.22/31,013.01
  6. Step 6: Final answer
    x = 13,242.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.