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Finding the Fourth Proportional to 73,142.52, 109,714.26 and 20,553

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Solution

The fourth proportional to 73,142.52, 109,714.26 and 20,553 is: 30,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.52 : 109,714.26 = 20,553 : x
  2. Step 2: Convert to fraction form
    73,142.52/109,714.26 = 20,553/x
  3. Step 3: Cross multiply
    73,142.52x = 109,714.26 × 20,553
  4. Step 4: Simplify right side
    73,142.52x = 2,254,957,185.78
  5. Step 5: Solve for x
    x = 2,254,957,185.78/73,142.52
  6. Step 6: Final answer
    x = 30,829.63

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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.