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Finding the Fourth Proportional to 89,006.34, 133,509.14 and 36,415.78

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Solution

The fourth proportional to 89,006.34, 133,509.14 and 36,415.78 is: 54,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,006.34 : 133,509.14 = 36,415.78 : x
  2. Step 2: Convert to fraction form
    89,006.34/133,509.14 = 36,415.78/x
  3. Step 3: Cross multiply
    89,006.34x = 133,509.14 × 36,415.78
  4. Step 4: Simplify right side
    89,006.34x = 4,861,839,470.23
  5. Step 5: Solve for x
    x = 4,861,839,470.23/89,006.34
  6. Step 6: Final answer
    x = 54,623.52

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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.