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Finding the Fourth Proportional to 45,605.80, 68,401.86 and 14,437

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Solution

The fourth proportional to 45,605.80, 68,401.86 and 14,437 is: 21,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,605.80 : 68,401.86 = 14,437 : x
  2. Step 2: Convert to fraction form
    45,605.80/68,401.86 = 14,437/x
  3. Step 3: Cross multiply
    45,605.80x = 68,401.86 × 14,437
  4. Step 4: Simplify right side
    45,605.80x = 987,517,652.82
  5. Step 5: Solve for x
    x = 987,517,652.82/45,605.80
  6. Step 6: Final answer
    x = 21,653.33

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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.