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Finding the Fourth Proportional to 71,664.28, 107,509.34 and 29,521.36

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Solution

The fourth proportional to 71,664.28, 107,509.34 and 29,521.36 is: 44,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664.28 : 107,509.34 = 29,521.36 : x
  2. Step 2: Convert to fraction form
    71,664.28/107,509.34 = 29,521.36/x
  3. Step 3: Cross multiply
    71,664.28x = 107,509.34 × 29,521.36
  4. Step 4: Simplify right side
    71,664.28x = 3,173,821,929.50
  5. Step 5: Solve for x
    x = 3,173,821,929.50/71,664.28
  6. Step 6: Final answer
    x = 44,287.36

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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.