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Finding the Fourth Proportional to 51,353, 77,033.88 and 14,417

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Solution

The fourth proportional to 51,353, 77,033.88 and 14,417 is: 21,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,353 : 77,033.88 = 14,417 : x
  2. Step 2: Convert to fraction form
    51,353/77,033.88 = 14,417/x
  3. Step 3: Cross multiply
    51,353x = 77,033.88 × 14,417
  4. Step 4: Simplify right side
    51,353x = 1,110,597,447.96
  5. Step 5: Solve for x
    x = 1,110,597,447.96/51,353
  6. Step 6: Final answer
    x = 21,626.73

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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.