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Finding the Fourth Proportional to 85,765.13, 118,354.11 and 47,524.34

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Solution

The fourth proportional to 85,765.13, 118,354.11 and 47,524.34 is: 65,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,765.13 : 118,354.11 = 47,524.34 : x
  2. Step 2: Convert to fraction form
    85,765.13/118,354.11 = 47,524.34/x
  3. Step 3: Cross multiply
    85,765.13x = 118,354.11 × 47,524.34
  4. Step 4: Simplify right side
    85,765.13x = 5,624,701,081.71
  5. Step 5: Solve for x
    x = 5,624,701,081.71/85,765.13
  6. Step 6: Final answer
    x = 65,582.61

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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.