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Finding the Fourth Proportional to 89,699.27, 123,784.39 and 49,412.12

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Solution

The fourth proportional to 89,699.27, 123,784.39 and 49,412.12 is: 68,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,699.27 : 123,784.39 = 49,412.12 : x
  2. Step 2: Convert to fraction form
    89,699.27/123,784.39 = 49,412.12/x
  3. Step 3: Cross multiply
    89,699.27x = 123,784.39 × 49,412.12
  4. Step 4: Simplify right side
    89,699.27x = 6,116,449,132.81
  5. Step 5: Solve for x
    x = 6,116,449,132.81/89,699.27
  6. Step 6: Final answer
    x = 68,188.39

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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.