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Finding the Fourth Proportional to 76,214.80, 114,322.20 and 23,629.60

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Solution

The fourth proportional to 76,214.80, 114,322.20 and 23,629.60 is: 35,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,214.80 : 114,322.20 = 23,629.60 : x
  2. Step 2: Convert to fraction form
    76,214.80/114,322.20 = 23,629.60/x
  3. Step 3: Cross multiply
    76,214.80x = 114,322.20 × 23,629.60
  4. Step 4: Simplify right side
    76,214.80x = 2,701,387,857.12
  5. Step 5: Solve for x
    x = 2,701,387,857.12/76,214.80
  6. Step 6: Final answer
    x = 35,444.40

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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.