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Finding the Fourth Proportional to 89,284.16, 123,216 and 53,480

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Solution

The fourth proportional to 89,284.16, 123,216 and 53,480 is: 73,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,284.16 : 123,216 = 53,480 : x
  2. Step 2: Convert to fraction form
    89,284.16/123,216 = 53,480/x
  3. Step 3: Cross multiply
    89,284.16x = 123,216 × 53,480
  4. Step 4: Simplify right side
    89,284.16x = 6,589,591,680
  5. Step 5: Solve for x
    x = 6,589,591,680/89,284.16
  6. Step 6: Final answer
    x = 73,804.71

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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.