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Finding the Fourth Proportional to 50,956.29, 70,324.11 and 29,742.39

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Solution

The fourth proportional to 50,956.29, 70,324.11 and 29,742.39 is: 41,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,956.29 : 70,324.11 = 29,742.39 : x
  2. Step 2: Convert to fraction form
    50,956.29/70,324.11 = 29,742.39/x
  3. Step 3: Cross multiply
    50,956.29x = 70,324.11 × 29,742.39
  4. Step 4: Simplify right side
    50,956.29x = 2,091,607,106.02
  5. Step 5: Solve for x
    x = 2,091,607,106.02/50,956.29
  6. Step 6: Final answer
    x = 41,047.08

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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.