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Finding the Fourth Proportional to 76,429.60, 114,644.40 and 20,269.60

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Solution

The fourth proportional to 76,429.60, 114,644.40 and 20,269.60 is: 30,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,429.60 : 114,644.40 = 20,269.60 : x
  2. Step 2: Convert to fraction form
    76,429.60/114,644.40 = 20,269.60/x
  3. Step 3: Cross multiply
    76,429.60x = 114,644.40 × 20,269.60
  4. Step 4: Simplify right side
    76,429.60x = 2,323,796,130.24
  5. Step 5: Solve for x
    x = 2,323,796,130.24/76,429.60
  6. Step 6: Final answer
    x = 30,404.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.