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Finding the Fourth Proportional to 83,624.34, 115,401.42 and 45,897.78

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Solution

The fourth proportional to 83,624.34, 115,401.42 and 45,897.78 is: 63,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,624.34 : 115,401.42 = 45,897.78 : x
  2. Step 2: Convert to fraction form
    83,624.34/115,401.42 = 45,897.78/x
  3. Step 3: Cross multiply
    83,624.34x = 115,401.42 × 45,897.78
  4. Step 4: Simplify right side
    83,624.34x = 5,296,668,986.85
  5. Step 5: Solve for x
    x = 5,296,668,986.85/83,624.34
  6. Step 6: Final answer
    x = 63,338.84

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