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Finding the Fourth Proportional to 31,292.49, 46,951.70 and 12,585.79

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Solution

The fourth proportional to 31,292.49, 46,951.70 and 12,585.79 is: 18,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292.49 : 46,951.70 = 12,585.79 : x
  2. Step 2: Convert to fraction form
    31,292.49/46,951.70 = 12,585.79/x
  3. Step 3: Cross multiply
    31,292.49x = 46,951.70 × 12,585.79
  4. Step 4: Simplify right side
    31,292.49x = 590,924,236.34
  5. Step 5: Solve for x
    x = 590,924,236.34/31,292.49
  6. Step 6: Final answer
    x = 18,883.90

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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.