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Finding the Fourth Proportional to 31,322.79, 46,972.49 and 12,596.51

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Solution

The fourth proportional to 31,322.79, 46,972.49 and 12,596.51 is: 18,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322.79 : 46,972.49 = 12,596.51 : x
  2. Step 2: Convert to fraction form
    31,322.79/46,972.49 = 12,596.51/x
  3. Step 3: Cross multiply
    31,322.79x = 46,972.49 × 12,596.51
  4. Step 4: Simplify right side
    31,322.79x = 591,689,142.16
  5. Step 5: Solve for x
    x = 591,689,142.16/31,322.79
  6. Step 6: Final answer
    x = 18,890.05

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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.