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Finding the Fourth Proportional to 98,309.02, 147,463.07 and 30,846

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Solution

The fourth proportional to 98,309.02, 147,463.07 and 30,846 is: 46,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,309.02 : 147,463.07 = 30,846 : x
  2. Step 2: Convert to fraction form
    98,309.02/147,463.07 = 30,846/x
  3. Step 3: Cross multiply
    98,309.02x = 147,463.07 × 30,846
  4. Step 4: Simplify right side
    98,309.02x = 4,548,645,857.22
  5. Step 5: Solve for x
    x = 4,548,645,857.22/98,309.02
  6. Step 6: Final answer
    x = 46,268.86

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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.