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Finding the Fourth Proportional to 52,018.66, 71,747.12 and 31,600.63

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Solution

The fourth proportional to 52,018.66, 71,747.12 and 31,600.63 is: 43,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,018.66 : 71,747.12 = 31,600.63 : x
  2. Step 2: Convert to fraction form
    52,018.66/71,747.12 = 31,600.63/x
  3. Step 3: Cross multiply
    52,018.66x = 71,747.12 × 31,600.63
  4. Step 4: Simplify right side
    52,018.66x = 2,267,254,183.62
  5. Step 5: Solve for x
    x = 2,267,254,183.62/52,018.66
  6. Step 6: Final answer
    x = 43,585.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.