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Finding the Fourth Proportional to 76,564.80, 114,800.16 and 29,763.12

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Solution

The fourth proportional to 76,564.80, 114,800.16 and 29,763.12 is: 44,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,564.80 : 114,800.16 = 29,763.12 : x
  2. Step 2: Convert to fraction form
    76,564.80/114,800.16 = 29,763.12/x
  3. Step 3: Cross multiply
    76,564.80x = 114,800.16 × 29,763.12
  4. Step 4: Simplify right side
    76,564.80x = 3,416,810,938.10
  5. Step 5: Solve for x
    x = 3,416,810,938.10/76,564.80
  6. Step 6: Final answer
    x = 44,626.39

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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.