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Finding the Fourth Proportional to 71,225.88, 106,875.26 and 29,137.06

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Solution

The fourth proportional to 71,225.88, 106,875.26 and 29,137.06 is: 43,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,225.88 : 106,875.26 = 29,137.06 : x
  2. Step 2: Convert to fraction form
    71,225.88/106,875.26 = 29,137.06/x
  3. Step 3: Cross multiply
    71,225.88x = 106,875.26 × 29,137.06
  4. Step 4: Simplify right side
    71,225.88x = 3,114,031,124.20
  5. Step 5: Solve for x
    x = 3,114,031,124.20/71,225.88
  6. Step 6: Final answer
    x = 43,720.50

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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.