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Finding the Fourth Proportional to 89,782.84, 123,901.28 and 49,498.05

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Solution

The fourth proportional to 89,782.84, 123,901.28 and 49,498.05 is: 68,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,782.84 : 123,901.28 = 49,498.05 : x
  2. Step 2: Convert to fraction form
    89,782.84/123,901.28 = 49,498.05/x
  3. Step 3: Cross multiply
    89,782.84x = 123,901.28 × 49,498.05
  4. Step 4: Simplify right side
    89,782.84x = 6,132,871,371.03
  5. Step 5: Solve for x
    x = 6,132,871,371.03/89,782.84
  6. Step 6: Final answer
    x = 68,307.83

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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.