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Finding the Fourth Proportional to 31,596.70, 47,422.32 and 12,887.05

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Solution

The fourth proportional to 31,596.70, 47,422.32 and 12,887.05 is: 19,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.70 : 47,422.32 = 12,887.05 : x
  2. Step 2: Convert to fraction form
    31,596.70/47,422.32 = 12,887.05/x
  3. Step 3: Cross multiply
    31,596.70x = 47,422.32 × 12,887.05
  4. Step 4: Simplify right side
    31,596.70x = 611,133,808.96
  5. Step 5: Solve for x
    x = 611,133,808.96/31,596.70
  6. Step 6: Final answer
    x = 19,341.70

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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.