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Finding the Fourth Proportional to 89,657.92, 123,728.28 and 53,848.54

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Solution

The fourth proportional to 89,657.92, 123,728.28 and 53,848.54 is: 74,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,657.92 : 123,728.28 = 53,848.54 : x
  2. Step 2: Convert to fraction form
    89,657.92/123,728.28 = 53,848.54/x
  3. Step 3: Cross multiply
    89,657.92x = 123,728.28 × 53,848.54
  4. Step 4: Simplify right side
    89,657.92x = 6,662,586,616.07
  5. Step 5: Solve for x
    x = 6,662,586,616.07/89,657.92
  6. Step 6: Final answer
    x = 74,311.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.