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Finding the Fourth Proportional to 78,245.30, 117,338.47 and 28,313.05

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Solution

The fourth proportional to 78,245.30, 117,338.47 and 28,313.05 is: 42,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,245.30 : 117,338.47 = 28,313.05 : x
  2. Step 2: Convert to fraction form
    78,245.30/117,338.47 = 28,313.05/x
  3. Step 3: Cross multiply
    78,245.30x = 117,338.47 × 28,313.05
  4. Step 4: Simplify right side
    78,245.30x = 3,322,209,968.03
  5. Step 5: Solve for x
    x = 3,322,209,968.03/78,245.30
  6. Step 6: Final answer
    x = 42,458.91

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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.