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Finding the Fourth Proportional to 51,696.29, 71,332.29 and 30,472.67

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Solution

The fourth proportional to 51,696.29, 71,332.29 and 30,472.67 is: 42,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,696.29 : 71,332.29 = 30,472.67 : x
  2. Step 2: Convert to fraction form
    51,696.29/71,332.29 = 30,472.67/x
  3. Step 3: Cross multiply
    51,696.29x = 71,332.29 × 30,472.67
  4. Step 4: Simplify right side
    51,696.29x = 2,173,684,976.85
  5. Step 5: Solve for x
    x = 2,173,684,976.85/51,696.29
  6. Step 6: Final answer
    x = 42,047.22

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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.