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Finding the Fourth Proportional to 31,448.60, 47,170.76 and 11,718.08

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Solution

The fourth proportional to 31,448.60, 47,170.76 and 11,718.08 is: 17,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448.60 : 47,170.76 = 11,718.08 : x
  2. Step 2: Convert to fraction form
    31,448.60/47,170.76 = 11,718.08/x
  3. Step 3: Cross multiply
    31,448.60x = 47,170.76 × 11,718.08
  4. Step 4: Simplify right side
    31,448.60x = 552,750,739.34
  5. Step 5: Solve for x
    x = 552,750,739.34/31,448.60
  6. Step 6: Final answer
    x = 17,576.32

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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.