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Finding the Fourth Proportional to 50,490.34, 75,712.32 and 17,196.86

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Solution

The fourth proportional to 50,490.34, 75,712.32 and 17,196.86 is: 25,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490.34 : 75,712.32 = 17,196.86 : x
  2. Step 2: Convert to fraction form
    50,490.34/75,712.32 = 17,196.86/x
  3. Step 3: Cross multiply
    50,490.34x = 75,712.32 × 17,196.86
  4. Step 4: Simplify right side
    50,490.34x = 1,302,013,930.71
  5. Step 5: Solve for x
    x = 1,302,013,930.71/50,490.34
  6. Step 6: Final answer
    x = 25,787.39

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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.