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Finding the Fourth Proportional to 51,476.96, 77,220.84 and 16,418

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Solution

The fourth proportional to 51,476.96, 77,220.84 and 16,418 is: 24,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,476.96 : 77,220.84 = 16,418 : x
  2. Step 2: Convert to fraction form
    51,476.96/77,220.84 = 16,418/x
  3. Step 3: Cross multiply
    51,476.96x = 77,220.84 × 16,418
  4. Step 4: Simplify right side
    51,476.96x = 1,267,811,751.12
  5. Step 5: Solve for x
    x = 1,267,811,751.12/51,476.96
  6. Step 6: Final answer
    x = 24,628.72

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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.