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Finding the Fourth Proportional to 89,661.32, 123,733.03 and 51,422.38

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Solution

The fourth proportional to 89,661.32, 123,733.03 and 51,422.38 is: 70,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,661.32 : 123,733.03 = 51,422.38 : x
  2. Step 2: Convert to fraction form
    89,661.32/123,733.03 = 51,422.38/x
  3. Step 3: Cross multiply
    89,661.32x = 123,733.03 × 51,422.38
  4. Step 4: Simplify right side
    89,661.32x = 6,362,646,887.21
  5. Step 5: Solve for x
    x = 6,362,646,887.21/89,661.32
  6. Step 6: Final answer
    x = 70,963.12

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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.