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Finding the Fourth Proportional to 89,292, 123,222.78 and 49,006.24

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Solution

The fourth proportional to 89,292, 123,222.78 and 49,006.24 is: 67,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,292 : 123,222.78 = 49,006.24 : x
  2. Step 2: Convert to fraction form
    89,292/123,222.78 = 49,006.24/x
  3. Step 3: Cross multiply
    89,292x = 123,222.78 × 49,006.24
  4. Step 4: Simplify right side
    89,292x = 6,038,685,130.15
  5. Step 5: Solve for x
    x = 6,038,685,130.15/89,292
  6. Step 6: Final answer
    x = 67,628.51

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