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Finding the Fourth Proportional to 89,460.64, 123,455.64 and 49,177

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Solution

The fourth proportional to 89,460.64, 123,455.64 and 49,177 is: 67,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,460.64 : 123,455.64 = 49,177 : x
  2. Step 2: Convert to fraction form
    89,460.64/123,455.64 = 49,177/x
  3. Step 3: Cross multiply
    89,460.64x = 123,455.64 × 49,177
  4. Step 4: Simplify right side
    89,460.64x = 6,071,178,008.28
  5. Step 5: Solve for x
    x = 6,071,178,008.28/89,460.64
  6. Step 6: Final answer
    x = 67,864.24

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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.