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Finding the Fourth Proportional to 71,077.54, 106,586.84 and 28,929.02

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Solution

The fourth proportional to 71,077.54, 106,586.84 and 28,929.02 is: 43,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.54 : 106,586.84 = 28,929.02 : x
  2. Step 2: Convert to fraction form
    71,077.54/106,586.84 = 28,929.02/x
  3. Step 3: Cross multiply
    71,077.54x = 106,586.84 × 28,929.02
  4. Step 4: Simplify right side
    71,077.54x = 3,083,452,202.76
  5. Step 5: Solve for x
    x = 3,083,452,202.76/71,077.54
  6. Step 6: Final answer
    x = 43,381.53

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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.