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Finding the Fourth Proportional to 71,124.36, 106,696.86 and 29,007.01

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Solution

The fourth proportional to 71,124.36, 106,696.86 and 29,007.01 is: 43,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,124.36 : 106,696.86 = 29,007.01 : x
  2. Step 2: Convert to fraction form
    71,124.36/106,696.86 = 29,007.01/x
  3. Step 3: Cross multiply
    71,124.36x = 106,696.86 × 29,007.01
  4. Step 4: Simplify right side
    71,124.36x = 3,094,956,884.99
  5. Step 5: Solve for x
    x = 3,094,956,884.99/71,124.36
  6. Step 6: Final answer
    x = 43,514.72

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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.