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Finding the Fourth Proportional to 78,023.50, 117,007.57 and 28,090.19

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Solution

The fourth proportional to 78,023.50, 117,007.57 and 28,090.19 is: 42,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,023.50 : 117,007.57 = 28,090.19 : x
  2. Step 2: Convert to fraction form
    78,023.50/117,007.57 = 28,090.19/x
  3. Step 3: Cross multiply
    78,023.50x = 117,007.57 × 28,090.19
  4. Step 4: Simplify right side
    78,023.50x = 3,286,764,217.47
  5. Step 5: Solve for x
    x = 3,286,764,217.47/78,023.50
  6. Step 6: Final answer
    x = 42,125.31

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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.