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Finding the Fourth Proportional to 98,563.39, 147,791.81 and 31,082.69

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Solution

The fourth proportional to 98,563.39, 147,791.81 and 31,082.69 is: 46,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,563.39 : 147,791.81 = 31,082.69 : x
  2. Step 2: Convert to fraction form
    98,563.39/147,791.81 = 31,082.69/x
  3. Step 3: Cross multiply
    98,563.39x = 147,791.81 × 31,082.69
  4. Step 4: Simplify right side
    98,563.39x = 4,593,767,461.96
  5. Step 5: Solve for x
    x = 4,593,767,461.96/98,563.39
  6. Step 6: Final answer
    x = 46,607.24

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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.