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Finding the Fourth Proportional to 50,154.32, 75,238.72 and 26,768

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Solution

The fourth proportional to 50,154.32, 75,238.72 and 26,768 is: 40,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,154.32 : 75,238.72 = 26,768 : x
  2. Step 2: Convert to fraction form
    50,154.32/75,238.72 = 26,768/x
  3. Step 3: Cross multiply
    50,154.32x = 75,238.72 × 26,768
  4. Step 4: Simplify right side
    50,154.32x = 2,013,990,056.96
  5. Step 5: Solve for x
    x = 2,013,990,056.96/50,154.32
  6. Step 6: Final answer
    x = 40,155.86

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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.