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Finding the Fourth Proportional to 34,715.54, 47,871.61 and 29,696.37

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Solution

The fourth proportional to 34,715.54, 47,871.61 and 29,696.37 is: 40,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715.54 : 47,871.61 = 29,696.37 : x
  2. Step 2: Convert to fraction form
    34,715.54/47,871.61 = 29,696.37/x
  3. Step 3: Cross multiply
    34,715.54x = 47,871.61 × 29,696.37
  4. Step 4: Simplify right side
    34,715.54x = 1,421,613,058.57
  5. Step 5: Solve for x
    x = 1,421,613,058.57/34,715.54
  6. Step 6: Final answer
    x = 40,950.34

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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.