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Finding the Fourth Proportional to 51,894.16, 71,612.04 and 31,743.52

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Solution

The fourth proportional to 51,894.16, 71,612.04 and 31,743.52 is: 43,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894.16 : 71,612.04 = 31,743.52 : x
  2. Step 2: Convert to fraction form
    51,894.16/71,612.04 = 31,743.52/x
  3. Step 3: Cross multiply
    51,894.16x = 71,612.04 × 31,743.52
  4. Step 4: Simplify right side
    51,894.16x = 2,273,218,223.98
  5. Step 5: Solve for x
    x = 2,273,218,223.98/51,894.16
  6. Step 6: Final answer
    x = 43,804.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.