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Finding the Fourth Proportional to 50,508.29, 75,774.32 and 14,969.90

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Solution

The fourth proportional to 50,508.29, 75,774.32 and 14,969.90 is: 22,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,508.29 : 75,774.32 = 14,969.90 : x
  2. Step 2: Convert to fraction form
    50,508.29/75,774.32 = 14,969.90/x
  3. Step 3: Cross multiply
    50,508.29x = 75,774.32 × 14,969.90
  4. Step 4: Simplify right side
    50,508.29x = 1,134,333,539.25
  5. Step 5: Solve for x
    x = 1,134,333,539.25/50,508.29
  6. Step 6: Final answer
    x = 22,458.37

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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.