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Finding the Fourth Proportional to 83,289.42, 114,941.16 and 45,563.67

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Solution

The fourth proportional to 83,289.42, 114,941.16 and 45,563.67 is: 62,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,289.42 : 114,941.16 = 45,563.67 : x
  2. Step 2: Convert to fraction form
    83,289.42/114,941.16 = 45,563.67/x
  3. Step 3: Cross multiply
    83,289.42x = 114,941.16 × 45,563.67
  4. Step 4: Simplify right side
    83,289.42x = 5,237,141,083.66
  5. Step 5: Solve for x
    x = 5,237,141,083.66/83,289.42
  6. Step 6: Final answer
    x = 62,878.83

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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.