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Finding the Fourth Proportional to 31,980.48, 47,969.28 and 12,268.32

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Solution

The fourth proportional to 31,980.48, 47,969.28 and 12,268.32 is: 18,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.48 : 47,969.28 = 12,268.32 : x
  2. Step 2: Convert to fraction form
    31,980.48/47,969.28 = 12,268.32/x
  3. Step 3: Cross multiply
    31,980.48x = 47,969.28 × 12,268.32
  4. Step 4: Simplify right side
    31,980.48x = 588,502,477.21
  5. Step 5: Solve for x
    x = 588,502,477.21/31,980.48
  6. Step 6: Final answer
    x = 18,401.93

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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.