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Finding the Fourth Proportional to 71,163.10, 106,746.48 and 33,714.40

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Solution

The fourth proportional to 71,163.10, 106,746.48 and 33,714.40 is: 50,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,163.10 : 106,746.48 = 33,714.40 : x
  2. Step 2: Convert to fraction form
    71,163.10/106,746.48 = 33,714.40/x
  3. Step 3: Cross multiply
    71,163.10x = 106,746.48 × 33,714.40
  4. Step 4: Simplify right side
    71,163.10x = 3,598,893,525.31
  5. Step 5: Solve for x
    x = 3,598,893,525.31/71,163.10
  6. Step 6: Final answer
    x = 50,572.47

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1.5x scale

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.