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Finding the Fourth Proportional to 31,044.84, 46,557.36 and 12,319.32

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Solution

The fourth proportional to 31,044.84, 46,557.36 and 12,319.32 is: 18,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044.84 : 46,557.36 = 12,319.32 : x
  2. Step 2: Convert to fraction form
    31,044.84/46,557.36 = 12,319.32/x
  3. Step 3: Cross multiply
    31,044.84x = 46,557.36 × 12,319.32
  4. Step 4: Simplify right side
    31,044.84x = 573,555,016.20
  5. Step 5: Solve for x
    x = 573,555,016.20/31,044.84
  6. Step 6: Final answer
    x = 18,475.05

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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.