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Finding the Fourth Proportional to 31,205.64, 46,798.92 and 16,406.40

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Solution

The fourth proportional to 31,205.64, 46,798.92 and 16,406.40 is: 24,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.64 : 46,798.92 = 16,406.40 : x
  2. Step 2: Convert to fraction form
    31,205.64/46,798.92 = 16,406.40/x
  3. Step 3: Cross multiply
    31,205.64x = 46,798.92 × 16,406.40
  4. Step 4: Simplify right side
    31,205.64x = 767,801,801.09
  5. Step 5: Solve for x
    x = 767,801,801.09/31,205.64
  6. Step 6: Final answer
    x = 24,604.58

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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.