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Finding the Fourth Proportional to 77,401.98, 106,794.18 and 45,564.66

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Solution

The fourth proportional to 77,401.98, 106,794.18 and 45,564.66 is: 62,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,401.98 : 106,794.18 = 45,564.66 : x
  2. Step 2: Convert to fraction form
    77,401.98/106,794.18 = 45,564.66/x
  3. Step 3: Cross multiply
    77,401.98x = 106,794.18 × 45,564.66
  4. Step 4: Simplify right side
    77,401.98x = 4,866,040,501.68
  5. Step 5: Solve for x
    x = 4,866,040,501.68/77,401.98
  6. Step 6: Final answer
    x = 62,867.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.