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Finding the Fourth Proportional to 52,507.69, 72,462.43 and 29,847.63

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Solution

The fourth proportional to 52,507.69, 72,462.43 and 29,847.63 is: 41,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.69 : 72,462.43 = 29,847.63 : x
  2. Step 2: Convert to fraction form
    52,507.69/72,462.43 = 29,847.63/x
  3. Step 3: Cross multiply
    52,507.69x = 72,462.43 × 29,847.63
  4. Step 4: Simplify right side
    52,507.69x = 2,162,831,799.54
  5. Step 5: Solve for x
    x = 2,162,831,799.54/52,507.69
  6. Step 6: Final answer
    x = 41,190.76

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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.