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Finding the Fourth Proportional to 89,767.78, 123,882.51 and 49,483.06

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Solution

The fourth proportional to 89,767.78, 123,882.51 and 49,483.06 is: 68,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,767.78 : 123,882.51 = 49,483.06 : x
  2. Step 2: Convert to fraction form
    89,767.78/123,882.51 = 49,483.06/x
  3. Step 3: Cross multiply
    89,767.78x = 123,882.51 × 49,483.06
  4. Step 4: Simplify right side
    89,767.78x = 6,130,085,675.28
  5. Step 5: Solve for x
    x = 6,130,085,675.28/89,767.78
  6. Step 6: Final answer
    x = 68,288.26

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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.