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Finding the Fourth Proportional to 31,004.64, 46,448.64 and 15,433.20

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Solution

The fourth proportional to 31,004.64, 46,448.64 and 15,433.20 is: 23,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.64 : 46,448.64 = 15,433.20 : x
  2. Step 2: Convert to fraction form
    31,004.64/46,448.64 = 15,433.20/x
  3. Step 3: Cross multiply
    31,004.64x = 46,448.64 × 15,433.20
  4. Step 4: Simplify right side
    31,004.64x = 716,851,150.85
  5. Step 5: Solve for x
    x = 716,851,150.85/31,004.64
  6. Step 6: Final answer
    x = 23,120.77

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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.