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Finding the Fourth Proportional to 71,123.36, 106,695.36 and 29,006.01

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Solution

The fourth proportional to 71,123.36, 106,695.36 and 29,006.01 is: 43,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,123.36 : 106,695.36 = 29,006.01 : x
  2. Step 2: Convert to fraction form
    71,123.36/106,695.36 = 29,006.01/x
  3. Step 3: Cross multiply
    71,123.36x = 106,695.36 × 29,006.01
  4. Step 4: Simplify right side
    71,123.36x = 3,094,806,679.11
  5. Step 5: Solve for x
    x = 3,094,806,679.11/71,123.36
  6. Step 6: Final answer
    x = 43,513.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.