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Finding the Fourth Proportional to 78,574.32, 117,537.48 and 50,451.12

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Solution

The fourth proportional to 78,574.32, 117,537.48 and 50,451.12 is: 75,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,574.32 : 117,537.48 = 50,451.12 : x
  2. Step 2: Convert to fraction form
    78,574.32/117,537.48 = 50,451.12/x
  3. Step 3: Cross multiply
    78,574.32x = 117,537.48 × 50,451.12
  4. Step 4: Simplify right side
    78,574.32x = 5,929,897,507.98
  5. Step 5: Solve for x
    x = 5,929,897,507.98/78,574.32
  6. Step 6: Final answer
    x = 75,468.65

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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.