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Finding the Fourth Proportional to 89,415.90, 133,929.45 and 54,294.30

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Solution

The fourth proportional to 89,415.90, 133,929.45 and 54,294.30 is: 81,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,415.90 : 133,929.45 = 54,294.30 : x
  2. Step 2: Convert to fraction form
    89,415.90/133,929.45 = 54,294.30/x
  3. Step 3: Cross multiply
    89,415.90x = 133,929.45 × 54,294.30
  4. Step 4: Simplify right side
    89,415.90x = 7,271,605,737.14
  5. Step 5: Solve for x
    x = 7,271,605,737.14/89,415.90
  6. Step 6: Final answer
    x = 81,323.41

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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.