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Finding the Fourth Proportional to 89,054.56, 133,581.84 and 39,772

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Solution

The fourth proportional to 89,054.56, 133,581.84 and 39,772 is: 59,658

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,054.56 : 133,581.84 = 39,772 : x
  2. Step 2: Convert to fraction form
    89,054.56/133,581.84 = 39,772/x
  3. Step 3: Cross multiply
    89,054.56x = 133,581.84 × 39,772
  4. Step 4: Simplify right side
    89,054.56x = 5,312,816,940.48
  5. Step 5: Solve for x
    x = 5,312,816,940.48/89,054.56
  6. Step 6: Final answer
    x = 59,658

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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.