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Finding the Fourth Proportional to 99,336.87, 137,082.94 and 54,014.46

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Solution

The fourth proportional to 99,336.87, 137,082.94 and 54,014.46 is: 74,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,336.87 : 137,082.94 = 54,014.46 : x
  2. Step 2: Convert to fraction form
    99,336.87/137,082.94 = 54,014.46/x
  3. Step 3: Cross multiply
    99,336.87x = 137,082.94 × 54,014.46
  4. Step 4: Simplify right side
    99,336.87x = 7,404,460,226.38
  5. Step 5: Solve for x
    x = 7,404,460,226.38/99,336.87
  6. Step 6: Final answer
    x = 74,538.89

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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.