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Finding the Fourth Proportional to 50,518.64, 75,768.84 and 13,574

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Solution

The fourth proportional to 50,518.64, 75,768.84 and 13,574 is: 20,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,518.64 : 75,768.84 = 13,574 : x
  2. Step 2: Convert to fraction form
    50,518.64/75,768.84 = 13,574/x
  3. Step 3: Cross multiply
    50,518.64x = 75,768.84 × 13,574
  4. Step 4: Simplify right side
    50,518.64x = 1,028,486,234.16
  5. Step 5: Solve for x
    x = 1,028,486,234.16/50,518.64
  6. Step 6: Final answer
    x = 20,358.55

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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.