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Finding the Fourth Proportional to 31,448.64, 47,152.08 and 12,460.68

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Solution

The fourth proportional to 31,448.64, 47,152.08 and 12,460.68 is: 18,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448.64 : 47,152.08 = 12,460.68 : x
  2. Step 2: Convert to fraction form
    31,448.64/47,152.08 = 12,460.68/x
  3. Step 3: Cross multiply
    31,448.64x = 47,152.08 × 12,460.68
  4. Step 4: Simplify right side
    31,448.64x = 587,546,980.21
  5. Step 5: Solve for x
    x = 587,546,980.21/31,448.64
  6. Step 6: Final answer
    x = 18,682.75

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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.