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Finding the Fourth Proportional to 71,242.64, 106,824.44 and 29,152.26

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Solution

The fourth proportional to 71,242.64, 106,824.44 and 29,152.26 is: 43,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,242.64 : 106,824.44 = 29,152.26 : x
  2. Step 2: Convert to fraction form
    71,242.64/106,824.44 = 29,152.26/x
  3. Step 3: Cross multiply
    71,242.64x = 106,824.44 × 29,152.26
  4. Step 4: Simplify right side
    71,242.64x = 3,114,173,849.23
  5. Step 5: Solve for x
    x = 3,114,173,849.23/71,242.64
  6. Step 6: Final answer
    x = 43,712.22

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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.