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Finding the Fourth Proportional to 98,561.63, 147,789.18 and 31,080.94

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Solution

The fourth proportional to 98,561.63, 147,789.18 and 31,080.94 is: 46,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,561.63 : 147,789.18 = 31,080.94 : x
  2. Step 2: Convert to fraction form
    98,561.63/147,789.18 = 31,080.94/x
  3. Step 3: Cross multiply
    98,561.63x = 147,789.18 × 31,080.94
  4. Step 4: Simplify right side
    98,561.63x = 4,593,425,897.28
  5. Step 5: Solve for x
    x = 4,593,425,897.28/98,561.63
  6. Step 6: Final answer
    x = 46,604.61

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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.