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Finding the Fourth Proportional to 31,115.79, 46,643.31 and 12,390.21

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Solution

The fourth proportional to 31,115.79, 46,643.31 and 12,390.21 is: 18,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115.79 : 46,643.31 = 12,390.21 : x
  2. Step 2: Convert to fraction form
    31,115.79/46,643.31 = 12,390.21/x
  3. Step 3: Cross multiply
    31,115.79x = 46,643.31 × 12,390.21
  4. Step 4: Simplify right side
    31,115.79x = 577,920,406.00
  5. Step 5: Solve for x
    x = 577,920,406.00/31,115.79
  6. Step 6: Final answer
    x = 18,573.22

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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.