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Finding the Fourth Proportional to 74,082.00, 111,153.76 and 47,458

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Solution

The fourth proportional to 74,082.00, 111,153.76 and 47,458 is: 71,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,082.00 : 111,153.76 = 47,458 : x
  2. Step 2: Convert to fraction form
    74,082.00/111,153.76 = 47,458/x
  3. Step 3: Cross multiply
    74,082.00x = 111,153.76 × 47,458
  4. Step 4: Simplify right side
    74,082.00x = 5,275,134,904.79
  5. Step 5: Solve for x
    x = 5,275,134,904.79/74,082.00
  6. Step 6: Final answer
    x = 71,206.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.