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Finding the Fourth Proportional to 89,774.16, 123,882.78 and 49,485.84

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Solution

The fourth proportional to 89,774.16, 123,882.78 and 49,485.84 is: 68,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,774.16 : 123,882.78 = 49,485.84 : x
  2. Step 2: Convert to fraction form
    89,774.16/123,882.78 = 49,485.84/x
  3. Step 3: Cross multiply
    89,774.16x = 123,882.78 × 49,485.84
  4. Step 4: Simplify right side
    89,774.16x = 6,130,443,429.84
  5. Step 5: Solve for x
    x = 6,130,443,429.84/89,774.16
  6. Step 6: Final answer
    x = 68,287.39

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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.