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Finding the Fourth Proportional to 89,353.38, 123,317.51 and 51,116.46

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Solution

The fourth proportional to 89,353.38, 123,317.51 and 51,116.46 is: 70,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,353.38 : 123,317.51 = 51,116.46 : x
  2. Step 2: Convert to fraction form
    89,353.38/123,317.51 = 51,116.46/x
  3. Step 3: Cross multiply
    89,353.38x = 123,317.51 × 51,116.46
  4. Step 4: Simplify right side
    89,353.38x = 6,303,554,311.63
  5. Step 5: Solve for x
    x = 6,303,554,311.63/89,353.38
  6. Step 6: Final answer
    x = 70,546.34

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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.