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Finding the Fourth Proportional to 98,604.56, 148,012.16 and 42,472.49

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Solution

The fourth proportional to 98,604.56, 148,012.16 and 42,472.49 is: 63,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,604.56 : 148,012.16 = 42,472.49 : x
  2. Step 2: Convert to fraction form
    98,604.56/148,012.16 = 42,472.49/x
  3. Step 3: Cross multiply
    98,604.56x = 148,012.16 × 42,472.49
  4. Step 4: Simplify right side
    98,604.56x = 6,286,444,033.06
  5. Step 5: Solve for x
    x = 6,286,444,033.06/98,604.56
  6. Step 6: Final answer
    x = 63,754.09

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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.