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Finding the Fourth Proportional to 50,503.40, 75,747.81 and 15,433.64

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Solution

The fourth proportional to 50,503.40, 75,747.81 and 15,433.64 is: 23,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,503.40 : 75,747.81 = 15,433.64 : x
  2. Step 2: Convert to fraction form
    50,503.40/75,747.81 = 15,433.64/x
  3. Step 3: Cross multiply
    50,503.40x = 75,747.81 × 15,433.64
  4. Step 4: Simplify right side
    50,503.40x = 1,169,064,677.57
  5. Step 5: Solve for x
    x = 1,169,064,677.57/50,503.40
  6. Step 6: Final answer
    x = 23,148.24

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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.