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Finding the Fourth Proportional to 29,298.56, 40,236.94 and 24,574.64

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Solution

The fourth proportional to 29,298.56, 40,236.94 and 24,574.64 is: 33,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298.56 : 40,236.94 = 24,574.64 : x
  2. Step 2: Convert to fraction form
    29,298.56/40,236.94 = 24,574.64/x
  3. Step 3: Cross multiply
    29,298.56x = 40,236.94 × 24,574.64
  4. Step 4: Simplify right side
    29,298.56x = 988,808,315.20
  5. Step 5: Solve for x
    x = 988,808,315.20/29,298.56
  6. Step 6: Final answer
    x = 33,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.