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Finding the Fourth Proportional to 31,043.40, 46,565.16 and 16,256.64

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Solution

The fourth proportional to 31,043.40, 46,565.16 and 16,256.64 is: 24,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.40 : 46,565.16 = 16,256.64 : x
  2. Step 2: Convert to fraction form
    31,043.40/46,565.16 = 16,256.64/x
  3. Step 3: Cross multiply
    31,043.40x = 46,565.16 × 16,256.64
  4. Step 4: Simplify right side
    31,043.40x = 756,993,042.66
  5. Step 5: Solve for x
    x = 756,993,042.66/31,043.40
  6. Step 6: Final answer
    x = 24,384.99

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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.